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332023020012032 = 2923443238926641
BaseRepresentation
bin100101101111110010010001…
…0001010100100001000000000
31121112121002110010200222020112
41023133210202022210020000
5322004331121110341112
63134053134131130452
7126635604645433136
oct11337444212441000
91545532403628215
10332023020012032
119687a198a7a098
12312a4351743a28
131133583735330b
145bdbddda8d756
15285ba32579a22
hex12df9222a4200

332023020012032 has 160 divisors (see below), whose sum is σ = 694120019725440. Its totient is φ = 158362904494080.

The previous prime is 332023020012031. The next prime is 332023020012043. The reversal of 332023020012032 is 230210020320233.

It is a super-2 number, since 2×3320230200120322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 332023020011989 and 332023020012007.

It is not an unprimeable number, because it can be changed into a prime (332023020012031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12462845432 + ... + 12462872072.

It is an arithmetic number, because the mean of its divisors is an integer number (4338250123284).

Almost surely, 2332023020012032 is an apocalyptic number.

332023020012032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332023020012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347060009862720).

332023020012032 is an abundant number, since it is smaller than the sum of its proper divisors (362096999713408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332023020012032 is a wasteful number, since it uses less digits than its factorization.

332023020012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29514 (or 29498 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 332023020012032 its reverse (230210020320233), we get a palindrome (562233040332265).

The spelling of 332023020012032 in words is "three hundred thirty-two trillion, twenty-three billion, twenty million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 443 512 736 886 1472 1772 2389 2944 3544 4778 5888 7088 9556 10189 11776 14176 19112 20378 26641 28352 38224 40756 53282 54947 56704 76448 81512 106564 109894 113408 152896 163024 213128 219788 226816 305792 326048 426256 439576 611584 612743 652096 852512 879152 1058327 1223168 1225486 1304192 1705024 1758304 2116654 2450972 2608384 3410048 3516608 4233308 4901944 5216768 6820096 7033216 8466616 9803888 11801963 13640192 14066432 16933232 19607776 23603926 24341521 28132864 33866464 39215552 47207852 48683042 63645349 67732928 78431104 94415704 97366084 127290698 135465856 156862208 188831408 194732168 254581396 270931712 271445149 313724416 377662816 389464336 509162792 541863424 542890298 755325632 778928672 1018325584 1085780596 1463843027 1510651264 1557857344 2036651168 2171561192 2927686054 3021302528 3115714688 4073302336 4343122384 5855372108 6042605056 6231429376 8146604672 8686244768 11710744216 12462858752 16293209344 17372489536 23421488432 28194889607 32586418688 34744979072 46842976864 56389779214 69489958144 93685953728 112779558428 138979916288 187371907456 225559116856 374743814912 451118233712 648482460961 749487629824 902236467424 1296964921922 1804472934848 2593929843844 3608945869696 5187859687688 7217891739392 10375719375376 14435783478784 20751438750752 41502877501504 83005755003008 166011510006016 332023020012032