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106114931 = 1322932143
BaseRepresentation
bin1100101001100…
…10111101110011
321101200012022122
412110302331303
5204131134211
614310224455
72425650656
oct624627563
9241605278
10106114931
115499879a
122b65512b
1318ca4c00
141014389d
1594b16db
hex6532f73

106114931 has 12 divisors (see below), whose sum is σ = 115351488. Its totient is φ = 97572384.

The previous prime is 106114909. The next prime is 106114949. The reversal of 106114931 is 139411601.

It is a de Polignac number, because none of the positive numbers 2k-106114931 is a prime.

It is a super-2 number, since 2×1061149312 = 22520757162269522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106114931.

It is not an unprimeable number, because it can be changed into a prime (106114961) 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, 48446 + ... + 50588.

It is an arithmetic number, because the mean of its divisors is an integer number (9612624).

Almost surely, 2106114931 is an apocalyptic number.

106114931 is a deficient number, since it is larger than the sum of its proper divisors (9236557).

106114931 is a wasteful number, since it uses less digits than its factorization.

106114931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 106114931 is about 10301.2101716255. The cubic root of 106114931 is about 473.4333329793.

The spelling of 106114931 in words is "one hundred six million, one hundred fourteen thousand, nine hundred thirty-one".

Divisors: 1 13 169 293 2143 3809 27859 49517 362167 627899 8162687 106114931