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31000431013 is a prime number
BaseRepresentation
bin11100110111110001…
…010000100110100101
32222000110210001201121
4130313301100212211
51001442102243023
622124050453541
72145135213226
oct346761204645
988013701647
1031000431013
1112168a31722
126011b942b1
132c00723506
14170126924d
15c16892d5d
hex737c509a5

31000431013 has 2 divisors, whose sum is σ = 31000431014. Its totient is φ = 31000431012.

The previous prime is 31000430999. The next prime is 31000431031. The reversal of 31000431013 is 31013400013.

Together with next prime (31000431031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28365970084 + 2634460929 = 168422^2 + 51327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31000431013 is a prime.

It is a super-2 number, since 2×310004310132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31000431043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500215506 + 15500215507.

It is an arithmetic number, because the mean of its divisors is an integer number (15500215507).

Almost surely, 231000431013 is an apocalyptic number.

It is an amenable number.

31000431013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31000431013 is an equidigital number, since it uses as much as digits as its factorization.

31000431013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31000431013 its reverse (31013400013), we get a palindrome (62013831026).

The spelling of 31000431013 in words is "thirty-one billion, four hundred thirty-one thousand, thirteen".