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31003619085 = 3255312999421
BaseRepresentation
bin11100110111111101…
…011010111100001101
32222000200210000221100
4130313331122330031
51001443411302320
622124243053313
72145204262005
oct346775327415
988020700840
1031003619085
111216a80999a
126013071239
132c0129b64a
141701859005
15c16cc2790
hex737f5af0d

31003619085 has 24 divisors (see below), whose sum is σ = 54753565464. Its totient is φ = 16223276160.

The previous prime is 31003619063. The next prime is 31003619089. The reversal of 31003619085 is 58091630013.

It is a happy number.

31003619085 is a `hidden beast` number, since 31 + 0 + 0 + 3 + 619 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4791685284 + 26211933801 = 69222^2 + 161901^2 .

It is not a de Polignac number, because 31003619085 - 26 = 31003619021 is a prime.

It is a super-2 number, since 2×310036190852 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31003619089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6497326 + ... + 6502095.

It is an arithmetic number, because the mean of its divisors is an integer number (2281398561).

Almost surely, 231003619085 is an apocalyptic number.

It is an amenable number.

31003619085 is a deficient number, since it is larger than the sum of its proper divisors (23749946379).

31003619085 is a wasteful number, since it uses less digits than its factorization.

31003619085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999485 (or 12999482 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 31003619085 in words is "thirty-one billion, three million, six hundred nineteen thousand, eighty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 12999421 38998263 64997105 116994789 194991315 584973945 688969313 2066907939 3444846565 6200723817 10334539695 31003619085