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311042112 = 2637012311
BaseRepresentation
bin10010100010100…
…010000001000000
3210200021120120020
4102202202001000
51114111321422
650510413440
710464546213
oct2242420100
9720246506
10311042112
1114a6365a7
1288201280
134c595ab4
142d44977a
151c49095c
hex128a2040

311042112 has 56 divisors (see below), whose sum is σ = 824496192. Its totient is φ = 103488000.

The previous prime is 311042093. The next prime is 311042129. The reversal of 311042112 is 211240113.

It is a junction number, because it is equal to n+sod(n) for n = 311042091 and 311042100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133437 + ... + 135747.

Almost surely, 2311042112 is an apocalyptic number.

311042112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311042112 is an abundant number, since it is smaller than the sum of its proper divisors (513454080).

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

311042112 is a wasteful number, since it uses less digits than its factorization.

311042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 311042112 is about 17636.3860243532. The cubic root of 311042112 is about 677.5474743311.

Adding to 311042112 its reverse (211240113), we get a palindrome (522282225).

The spelling of 311042112 in words is "three hundred eleven million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 701 1402 2103 2311 2804 4206 4622 5608 6933 8412 9244 11216 13866 16824 18488 22432 27732 33648 36976 44864 55464 67296 73952 110928 134592 147904 221856 443712 1620011 3240022 4860033 6480044 9720066 12960088 19440132 25920176 38880264 51840352 77760528 103680704 155521056 311042112