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10117931 is a prime number
BaseRepresentation
bin100110100110…
…001100101011
3201001001012012
4212212030223
510042233211
61000510135
7152000225
oct46461453
921031165
1010117931
11579082a
12347b34b
132133455
1414b5415
15d4cd8b
hex9a632b

10117931 has 2 divisors, whose sum is σ = 10117932. Its totient is φ = 10117930.

The previous prime is 10117889. The next prime is 10117957. The reversal of 10117931 is 13971101.

10117931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (13971101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10117931 - 26 = 10117867 is a prime.

It is a super-2 number, since 2×101179312 = 204745055441522, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10117897 and 10117906.

It is not a weakly prime, because it can be changed into another prime (10117231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058965 + 5058966.

It is an arithmetic number, because the mean of its divisors is an integer number (5058966).

Almost surely, 210117931 is an apocalyptic number.

10117931 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117931 is an equidigital number, since it uses as much as digits as its factorization.

10117931 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 23.

The square root of 10117931 is about 3180.8695352057. The cubic root of 10117931 is about 216.2870768507.

The spelling of 10117931 in words is "ten million, one hundred seventeen thousand, nine hundred thirty-one".