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10010010137 is a prime number
BaseRepresentation
bin10010101001010010…
…01010001000011001
3221211121121012110012
421110221022020121
5131000030311022
64333141131305
7503025453011
oct112451121031
927747535405
1010010010137
114277431856
121b343b9b35
13c36ab382a
146ad60ac41
153d8bd8de2
hex254a4a219

10010010137 has 2 divisors, whose sum is σ = 10010010138. Its totient is φ = 10010010136.

The previous prime is 10010010107. The next prime is 10010010187. The reversal of 10010010137 is 73101001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6902951056 + 3107059081 = 83084^2 + 55741^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010010137 - 228 = 9741574681 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010010107) 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, 5005005068 + 5005005069.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005069).

Almost surely, 210010010137 is an apocalyptic number.

It is an amenable number.

10010010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010010137 is an equidigital number, since it uses as much as digits as its factorization.

10010010137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 14.

Adding to 10010010137 its reverse (73101001001), we get a palindrome (83111011138).

The spelling of 10010010137 in words is "ten billion, ten million, ten thousand, one hundred thirty-seven".