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10031032013 is a prime number
BaseRepresentation
bin10010101011110010…
…10110011011001101
3221220002011020001012
421111321112123031
5131020421011023
64335211455005
7503402236202
oct112571263315
927802136035
1010031032013
11428828a902
121b3b457465
13c3b264102
146b231dca9
153da98c978
hex255e566cd

10031032013 has 2 divisors, whose sum is σ = 10031032014. Its totient is φ = 10031032012.

The previous prime is 10031032003. The next prime is 10031032057. The reversal of 10031032013 is 31023013001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7465305604 + 2565726409 = 86402^2 + 50653^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10031032013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031032003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015516006 + 5015516007.

It is an arithmetic number, because the mean of its divisors is an integer number (5015516007).

Almost surely, 210031032013 is an apocalyptic number.

It is an amenable number.

10031032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031032013 is an equidigital number, since it uses as much as digits as its factorization.

10031032013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10031032013 its reverse (31023013001), we get a palindrome (41054045014).

The spelling of 10031032013 in words is "ten billion, thirty-one million, thirty-two thousand, thirteen".