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112021131321 = 32111783979333
BaseRepresentation
bin110100001010011111…
…0101101000000111001
3101201010221112002022200
41220110332231000321
53313404402200241
6123243425340413
711043662622411
oct1502476550071
9351127462280
10112021131321
114356500aa80
1219863797709
13a7431625b8
1455c97bd641
152da97814b6
hex1a14fad039

112021131321 has 48 divisors (see below), whose sum is σ = 187126692480. Its totient is φ = 63821007360.

The previous prime is 112021131283. The next prime is 112021131367. The reversal of 112021131321 is 123131120211.

112021131321 is a `hidden beast` number, since 1 + 120 + 211 + 313 + 21 = 666.

It is not a de Polignac number, because 112021131321 - 213 = 112021123129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112021131294 and 112021131303.

It is not an unprimeable number, because it can be changed into a prime (112021131121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372371 + ... + 1451703.

It is an arithmetic number, because the mean of its divisors is an integer number (3898472760).

Almost surely, 2112021131321 is an apocalyptic number.

112021131321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112021131321 is a deficient number, since it is larger than the sum of its proper divisors (75105561159).

112021131321 is a wasteful number, since it uses less digits than its factorization.

112021131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80206 (or 80203 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112021131321 its reverse (123131120211), we get a palindrome (235152251532).

It can be divided in two parts, 112021 and 131321, that added together give a palindrome (243342).

The spelling of 112021131321 in words is "one hundred twelve billion, twenty-one million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 839 1683 2517 7551 9229 14263 27687 42789 79333 83061 128367 156893 237999 470679 713997 872663 1348661 1412037 2617989 4045983 7853967 12137949 14835271 44505813 66560387 133517439 199681161 599043483 732164257 1131526579 2196492771 3394579737 6589478313 10183739211 12446792369 37340377107 112021131321