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31343014013 is a prime number
BaseRepresentation
bin11101001100001100…
…000111000001111101
32222220100102002020212
4131030030013001331
51003142302422023
622222045322205
72156465136413
oct351414070175
988810362225
1031343014013
1112324350373
1260a8866365
132c566b074c
1417349652b3
15c369b3e78
hex74c30707d

31343014013 has 2 divisors, whose sum is σ = 31343014014. Its totient is φ = 31343014012.

The previous prime is 31343014009. The next prime is 31343014049. The reversal of 31343014013 is 31041034313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20148950809 + 11194063204 = 141947^2 + 105802^2 .

It is a cyclic number.

It is not a de Polignac number, because 31343014013 - 22 = 31343014009 is a prime.

It is a super-2 number, since 2×313430140132 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31343014013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31343011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15671507006 + 15671507007.

It is an arithmetic number, because the mean of its divisors is an integer number (15671507007).

Almost surely, 231343014013 is an apocalyptic number.

It is an amenable number.

31343014013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31343014013 is an equidigital number, since it uses as much as digits as its factorization.

31343014013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 31343014013 its reverse (31041034313), we get a palindrome (62384048326).

The spelling of 31343014013 in words is "thirty-one billion, three hundred forty-three million, fourteen thousand, thirteen".