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102310322985 = 32513174889441
BaseRepresentation
bin101111101001000101…
…0111010001100101001
3100210002011220220120200
41133102022322030221
53134012420313420
6115000053142413
710251226253013
oct1372212721451
9323064826520
10102310322985
113a431567a42
12179b362aa09
13985635a470
144d47c191b3
1529dbe99b90
hex17d22ba329

102310322985 has 24 divisors (see below), whose sum is σ = 190979270664. Its totient is φ = 50368158720.

The previous prime is 102310322927. The next prime is 102310323007. The reversal of 102310322985 is 589223013201.

102310322985 is a `hidden beast` number, since 10 + 2 + 310 + 322 + 9 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21013056 + 102289309929 = 4584^2 + 319827^2 .

It is not a de Polignac number, because 102310322985 - 213 = 102310314793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87444136 + ... + 87445305.

It is an arithmetic number, because the mean of its divisors is an integer number (7957469611).

Almost surely, 2102310322985 is an apocalyptic number.

102310322985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102310322985 is a deficient number, since it is larger than the sum of its proper divisors (88668947679).

102310322985 is a wasteful number, since it uses less digits than its factorization.

102310322985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174889465 (or 174889462 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 102310322985 in words is "one hundred two billion, three hundred ten million, three hundred twenty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 174889441 524668323 874447205 1574004969 2273562733 2623341615 6820688199 7870024845 11367813665 20462064597 34103440995 102310322985