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332023133312 = 27131811102393
BaseRepresentation
bin1001101010011100001…
…11101111010010000000
31011202000021002202021122
410311032013233102000
520414440410231222
6412310200011412
732662562032133
oct4651607572200
91152007082248
10332023133312
111188a0448332
1254421a60b68
13254043aa6c0
14120da14821a
158983c19a42
hex4d4e1ef480

332023133312 has 64 divisors (see below), whose sum is σ = 716269477560. Its totient is φ = 152394670080.

The previous prime is 332023133297. The next prime is 332023133317. The reversal of 332023133312 is 213331320233.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 120842445376 + 211180687936 = 347624^2 + 459544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3320231333122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (332023133317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250013 + ... + 852380.

Almost surely, 2332023133312 is an apocalyptic number.

332023133312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332023133312 is an abundant number, since it is smaller than the sum of its proper divisors (384246344248).

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

332023133312 is a wasteful number, since it uses less digits than its factorization.

332023133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102601 (or 1102589 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 332023133312 its reverse (213331320233), we get a palindrome (545354453545).

The spelling of 332023133312 in words is "three hundred thirty-two billion, twenty-three million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 181 208 362 416 724 832 1448 1664 2353 2896 4706 5792 9412 11584 18824 23168 37648 75296 150592 301184 1102393 2204786 4409572 8819144 14331109 17638288 28662218 35276576 57324436 70553152 114648872 141106304 199533133 229297744 399066266 458595488 798132532 917190976 1596265064 1834381952 2593930729 3192530128 5187861458 6385060256 10375722916 12770120512 20751445832 25540241024 41502891664 83005783328 166011566656 332023133312