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31003012013 = 172053888313
BaseRepresentation
bin11100110111111011…
…000110101110101101
32222000122122012012012
4130313323012232231
51001443232341023
622124222051005
72145166153061
oct346773065655
988018565165
1031003012013
111216a434886
126012a19a65
132c0111822c
14170173baa1
15c16c02978
hex737ec6bad

31003012013 has 8 divisors (see below), whose sum is σ = 32842745208. Its totient is φ = 29165059584.

The previous prime is 31003011983. The next prime is 31003012067. The reversal of 31003012013 is 31021030013.

It can be written as a sum of positive squares in 4 ways, for example, as 7110199684 + 23892812329 = 84322^2 + 154573^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 31003012013 - 234 = 13823142829 is a prime.

It is a super-2 number, since 2×310030120132 (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 (31003012613) 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 7 ways as a sum of consecutive naturals, for example, 409256 + ... + 479057.

It is an arithmetic number, because the mean of its divisors is an integer number (4105343151).

Almost surely, 231003012013 is an apocalyptic number.

It is an amenable number.

31003012013 is a deficient number, since it is larger than the sum of its proper divisors (1839733195).

31003012013 is a wasteful number, since it uses less digits than its factorization.

31003012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890383.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31003012013 its reverse (31021030013), we get a palindrome (62024042026).

The spelling of 31003012013 in words is "thirty-one billion, three million, twelve thousand, thirteen".

Divisors: 1 17 2053 34901 888313 15101321 1823706589 31003012013