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10292931 = 3211103969
BaseRepresentation
bin100111010000…
…111011000011
3201100221020200
4213100323003
510113333211
61004340243
7153326355
oct47207303
921327220
1010292931
1158a0260
123544683
132194cbc
14151d0d5
15d84b56
hex9d0ec3

10292931 has 12 divisors (see below), whose sum is σ = 16219320. Its totient is φ = 6238080.

The previous prime is 10292923. The next prime is 10292959. The reversal of 10292931 is 13929201.

10292931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10292931 - 23 = 10292923 is a prime.

It is a super-2 number, since 2×102929312 = 211888857141522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10292895 and 10292904.

It is not an unprimeable number, because it can be changed into a prime (10292911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51886 + ... + 52083.

It is an arithmetic number, because the mean of its divisors is an integer number (1351610).

Almost surely, 210292931 is an apocalyptic number.

10292931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10292931 is a deficient number, since it is larger than the sum of its proper divisors (5926389).

10292931 is a wasteful number, since it uses less digits than its factorization.

10292931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103986 (or 103983 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10292931 is about 3208.2598086813. The cubic root of 10292931 is about 217.5269249268.

The spelling of 10292931 in words is "ten million, two hundred ninety-two thousand, nine hundred thirty-one".

Divisors: 1 3 9 11 33 99 103969 311907 935721 1143659 3430977 10292931