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20101301232320 = 265711815799563
BaseRepresentation
bin1001001001000001100101…
…11010110110001011000000
32122011122222020121022002002
410210200302322312023000
510113314431103413240
6110430224343043132
74143161661212420
oct444406272661300
978148866538062
1020101301232320
11644aa06562250
1223079251404a8
13b2a710570319
144d6ca0040480
1524cd33455d15
hex124832eb62c0

20101301232320 has 112 divisors (see below), whose sum is σ = 59677369705728. Its totient is φ = 6265340636160.

The previous prime is 20101301232317. The next prime is 20101301232323. The reversal of 20101301232320 is 2323210310102.

It is an interprime number because it is at equal distance from previous prime (20101301232317) and next prime (20101301232323).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×201013012323202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20101301232292 and 20101301232301.

It is not an unprimeable number, because it can be changed into a prime (20101301232323) 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, 407875142 + ... + 407924421.

Almost surely, 220101301232320 is an apocalyptic number.

20101301232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101301232320 is an abundant number, since it is smaller than the sum of its proper divisors (39576068473408).

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

20101301232320 is a wasteful number, since it uses less digits than its factorization.

20101301232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815799598 (or 815799588 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20101301232320 its reverse (2323210310102), we get a palindrome (22424511542422).

The spelling of 20101301232320 in words is "twenty trillion, one hundred one billion, three hundred one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 815799563 1631599126 3263198252 4078997815 5710596941 6526396504 8157995630 8973795193 11421193882 13052793008 16315991260 17947590386 22842387764 26105586016 28552984705 32631982520 35895180772 44868975965 45684775528 52211172032 57105969410 62816566351 65263965040 71790361544 89737951930 91369551056 114211938820 125633132702 130527930080 143580723088 179475903860 182739102112 228423877640 251266265404 261055860160 287161446176 314082831755 358951807720 365478204224 456847755280 502532530808 574322892352 628165663510 717903615440 913695510560 1005065061616 1256331327020 1435807230880 1827391021120 2010130123232 2512662654040 2871614461760 4020260246464 5025325308080 10050650616160 20101301232320