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9120312131 = 72797013361
BaseRepresentation
bin10000111111001110…
…01110101101000011
3212112121110212020012
420133213032231003
5122134244442011
64104555535135
7442003242200
oct103747165503
925477425205
109120312131
1139601a6547
12192645a4ab
13b246862c8
146273b2ca7
15385a44a8b
hex21f9ceb43

9120312131 has 24 divisors (see below), whose sum is σ = 10762165440. Its totient is φ = 7705152000.

The previous prime is 9120312121. The next prime is 9120312161. The reversal of 9120312131 is 1312130219.

It is not a de Polignac number, because 9120312131 - 26 = 9120312067 is a prime.

It is a super-2 number, since 2×91203121312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9120312097 and 9120312106.

It is not an unprimeable number, because it can be changed into a prime (9120312121) 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, 2711891 + ... + 2715251.

It is an arithmetic number, because the mean of its divisors is an integer number (448423560).

Almost surely, 29120312131 is an apocalyptic number.

9120312131 is a deficient number, since it is larger than the sum of its proper divisors (1641853309).

9120312131 is a wasteful number, since it uses less digits than its factorization.

9120312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 9120312131 is about 95500.3252926397. The cubic root of 9120312131 is about 2089.3116885886.

The spelling of 9120312131 in words is "nine billion, one hundred twenty million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 49 79 553 701 3361 3871 4907 23527 34349 55379 164689 265519 387653 1858633 2356061 2713571 13010431 16492427 115446989 186128819 1302901733 9120312131