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10021137131 is a prime number
BaseRepresentation
bin10010101010100111…
…00110101011101011
3221212101112111211002
421111103212223223
5131010402342011
64334215425215
7503222155145
oct112523465353
927771474732
1010021137131
114282741715
121b3808520b
13c391ab355
146b0ca5c95
153d9b85c3b
hex2554e6aeb

10021137131 has 2 divisors, whose sum is σ = 10021137132. Its totient is φ = 10021137130.

The previous prime is 10021137121. The next prime is 10021137173. The reversal of 10021137131 is 13173112001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10021137131 is a prime.

It is a super-2 number, since 2×100211371312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10021137121) 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, 5010568565 + 5010568566.

It is an arithmetic number, because the mean of its divisors is an integer number (5010568566).

Almost surely, 210021137131 is an apocalyptic number.

10021137131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021137131 is an equidigital number, since it uses as much as digits as its factorization.

10021137131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 10021137131 its reverse (13173112001), we get a palindrome (23194249132).

The spelling of 10021137131 in words is "ten billion, twenty-one million, one hundred thirty-seven thousand, one hundred thirty-one".