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10111000957 is a prime number
BaseRepresentation
bin10010110101010100…
…11010000101111101
3222002122122001210221
421122222122011331
5131201404012312
64351145501341
7505363042621
oct113252320575
928078561727
1010111000957
11431943a742
121b621a1851
13c519b3305
146bcbb9181
153e29d7207
hex25aa9a17d

10111000957 has 2 divisors, whose sum is σ = 10111000958. Its totient is φ = 10111000956.

The previous prime is 10111000919. The next prime is 10111000979. The reversal of 10111000957 is 75900011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10108090521 + 2910436 = 100539^2 + 1706^2 .

It is an emirp because it is prime and its reverse (75900011101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10111000957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111000057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055500478 + 5055500479.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500479).

Almost surely, 210111000957 is an apocalyptic number.

It is an amenable number.

10111000957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111000957 is an equidigital number, since it uses as much as digits as its factorization.

10111000957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 25.

The spelling of 10111000957 in words is "ten billion, one hundred eleven million, nine hundred fifty-seven", and thus it is an aban number.