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10031211013 is a prime number
BaseRepresentation
bin10010101011110100…
…00010001000000101
3221220002111022120211
421111322002020011
5131020442223023
64335215355421
7503403613105
oct112572021005
927802438524
1010031211013
1142883a233a
121b3b522b71
13c3b2c7725
146b2369205
153da9c5a0d
hex255e82205

10031211013 has 2 divisors, whose sum is σ = 10031211014. Its totient is φ = 10031211012.

The previous prime is 10031210999. The next prime is 10031211017. The reversal of 10031211013 is 31011213001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5262341764 + 4768869249 = 72542^2 + 69057^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10031211013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031210984 and 10031211002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031211017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015605506 + 5015605507.

It is an arithmetic number, because the mean of its divisors is an integer number (5015605507).

Almost surely, 210031211013 is an apocalyptic number.

It is an amenable number.

10031211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031211013 is an equidigital number, since it uses as much as digits as its factorization.

10031211013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10031211013 its reverse (31011213001), we get a palindrome (41042424014).

The spelling of 10031211013 in words is "ten billion, thirty-one million, two hundred eleven thousand, thirteen".