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10204400131 is a prime number
BaseRepresentation
bin10011000000011101…
…01100101000000011
3222100011101020101121
421200032230220003
5131344311301011
64404323413111
7510605653462
oct114016545003
928304336347
1010204400131
114367132942
121b89524197
13c681554b3
146cb36c9d9
153eacd5e71
hex2603aca03

10204400131 has 2 divisors, whose sum is σ = 10204400132. Its totient is φ = 10204400130.

The previous prime is 10204400077. The next prime is 10204400147. The reversal of 10204400131 is 13100440201.

It is an a-pointer prime, because the next prime (10204400147) can be obtained adding 10204400131 to its sum of digits (16).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10204400131 - 29 = 10204399619 is a prime.

It is a super-2 number, since 2×102044001312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10204400831) 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, 5102200065 + 5102200066.

It is an arithmetic number, because the mean of its divisors is an integer number (5102200066).

Almost surely, 210204400131 is an apocalyptic number.

10204400131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10204400131 is an equidigital number, since it uses as much as digits as its factorization.

10204400131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10204400131 its reverse (13100440201), we get a palindrome (23304840332).

The spelling of 10204400131 in words is "ten billion, two hundred four million, four hundred thousand, one hundred thirty-one".