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10000011137 is a prime number
BaseRepresentation
bin10010101000000110…
…00000111110000001
3221210220210012101212
421110003000332001
5130440000324022
64332142535505
7502544456264
oct112403007601
927726705355
1010000011137
114271822416
121b30b97595
13c349c256c
146ac166cdb
153d7db13e2
hex2540c0f81

10000011137 has 2 divisors, whose sum is σ = 10000011138. Its totient is φ = 10000011136.

The previous prime is 10000011121. The next prime is 10000011173. The reversal of 10000011137 is 73111000001.

Together with next prime (10000011173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7850668816 + 2149342321 = 88604^2 + 46361^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000011137 - 24 = 10000011121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000011107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005568 + 5000005569.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005569).

Almost surely, 210000011137 is an apocalyptic number.

It is an amenable number.

10000011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000011137 is an equidigital number, since it uses as much as digits as its factorization.

10000011137 is an evil number, because the sum of its binary digits is even.

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

Adding to 10000011137 its reverse (73111000001), we get a palindrome (83111011138).

The spelling of 10000011137 in words is "ten billion, eleven thousand, one hundred thirty-seven".