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112946031 = 32112349603
BaseRepresentation
bin1101011101101…
…10101101101111
321212112020211100
412232312231233
5212403233111
615112454143
72541011502
oct656665557
9255466740
10112946031
1158834030
12319aa353
131a527293
1411001139
159db0756
hex6bb6b6f

112946031 has 24 divisors (see below), whose sum is σ = 185717376. Its totient is φ = 65474640.

The previous prime is 112946017. The next prime is 112946033. The reversal of 112946031 is 130649211.

It is not a de Polignac number, because 112946031 - 25 = 112945999 is a prime.

It is a super-2 number, since 2×1129460312 = 25513611837305922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112945986 and 112946004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112946033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22525 + ... + 27078.

It is an arithmetic number, because the mean of its divisors is an integer number (7738224).

Almost surely, 2112946031 is an apocalyptic number.

112946031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112946031 is a deficient number, since it is larger than the sum of its proper divisors (72771345).

112946031 is a wasteful number, since it uses less digits than its factorization.

112946031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49643 (or 49640 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 112946031 is about 10627.6070213383. The cubic root of 112946031 is about 483.3818335265.

The spelling of 112946031 in words is "one hundred twelve million, nine hundred forty-six thousand, thirty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 49603 148809 446427 545633 1140869 1636899 3422607 4910697 10267821 12549559 37648677 112946031