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31002112013 = 601415712409
BaseRepresentation
bin11100110111110111…
…101011000000001101
32222000120221110121212
4130313313223000031
51001443020041023
622124150504205
72145155414135
oct346767530015
988016843555
1031002112013
111216997a684
126012665065
132c00b916a2
141701585ac5
15c16ac5e78
hex737deb00d

31002112013 has 8 divisors (see below), whose sum is σ = 31063669560. Its totient is φ = 30940588800.

The previous prime is 31002111989. The next prime is 31002112021. The reversal of 31002112013 is 31021120013.

It can be written as a sum of positive squares in 4 ways, for example, as 1861232164 + 29140879849 = 43142^2 + 170707^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31002112013 is a prime.

It is a super-2 number, since 2×310021120132 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002112073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2492153 + ... + 2504561.

It is an arithmetic number, because the mean of its divisors is an integer number (3882958695).

Almost surely, 231002112013 is an apocalyptic number.

It is an amenable number.

31002112013 is a deficient number, since it is larger than the sum of its proper divisors (61557547).

31002112013 is a wasteful number, since it uses less digits than its factorization.

31002112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17167.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31002112013 its reverse (31021120013), we get a palindrome (62023232026).

The spelling of 31002112013 in words is "thirty-one billion, two million, one hundred twelve thousand, thirteen".

Divisors: 1 601 4157 12409 2498357 7457809 51584213 31002112013