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99931131 = 3313926627
BaseRepresentation
bin1011111010011…
…01001111111011
320222001000202000
411331031033323
5201040244011
613525512043
72322254256
oct575151773
9228030660
1099931131
1151454813
1229572623
131791b361
14d3b409d
158b8e356
hex5f4d3fb

99931131 has 16 divisors (see below), whose sum is σ = 149116800. Its totient is φ = 66138984.

The previous prime is 99931099. The next prime is 99931157. The reversal of 99931131 is 13113999.

It is not a de Polignac number, because 99931131 - 25 = 99931099 is a prime.

It is a super-2 number, since 2×999311312 = 19972461885878322, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99931031) 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 15 ways as a sum of consecutive naturals, for example, 9561 + ... + 17066.

It is an arithmetic number, because the mean of its divisors is an integer number (9319800).

Almost surely, 299931131 is an apocalyptic number.

99931131 is a deficient number, since it is larger than the sum of its proper divisors (49185669).

99931131 is a wasteful number, since it uses less digits than its factorization.

99931131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26775 (or 26769 counting only the distinct ones).

The product of its digits is 6561, while the sum is 36.

The square root of 99931131 is about 9996.5559569284. Note that the first 3 decimals coincide. The cubic root of 99931131 is about 464.0523050306.

The spelling of 99931131 in words is "ninety-nine million, nine hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 139 417 1251 3753 26627 79881 239643 718929 3701153 11103459 33310377 99931131