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112313112021 = 321123920812281
BaseRepresentation
bin110100010011001100…
…0100001010111010101
3101201220021221020112200
41220212120201113111
53320004124041041
6123332415435113
711054136462165
oct1504630412725
9351807836480
10112313112021
11436a4907440
1219925525a99
13a78b7b3246
1456164a65a5
152dc52091b6
hex1a266215d5

112313112021 has 48 divisors (see below), whose sum is σ = 177882082560. Its totient is φ = 67721472000.

The previous prime is 112313112001. The next prime is 112313112049. The reversal of 112313112021 is 120211313211.

It is not a de Polignac number, because 112313112021 - 214 = 112313095637 is a prime.

It is a super-2 number, since 2×1123131120212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112313111985 and 112313112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112313112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49237401 + ... + 49239681.

It is an arithmetic number, because the mean of its divisors is an integer number (3705876720).

Almost surely, 2112313112021 is an apocalyptic number.

112313112021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112313112021 is a deficient number, since it is larger than the sum of its proper divisors (65568970539).

112313112021 is a wasteful number, since it uses less digits than its factorization.

112313112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4615 counting only the distinct ones).

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

Adding to 112313112021 its reverse (120211313211), we get a palindrome (232524425232).

The spelling of 112313112021 in words is "one hundred twelve billion, three hundred thirteen million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 9 11 33 99 239 717 2081 2151 2281 2629 6243 6843 7887 18729 20529 22891 23661 25091 68673 75273 206019 225819 497359 545159 1492077 1635477 4476231 4746761 4906431 5470949 5996749 14240283 16412847 17990247 42720849 49238541 52214371 53970741 156643113 469929339 1134475879 3403427637 10210282911 12479234669 37437704007 112313112021