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107014236345 = 3351327597361
BaseRepresentation
bin110001110101010001…
…0111010100010111001
3101020020000011110122000
41203222202322202321
53223131121030340
6121054530251213
710505625000102
oct1435242724271
9336200143560
10107014236345
1141425823745
12188a6a26b09
13a125a5b553
1452728453a9
152bb4e16d30
hex18ea8ba8b9

107014236345 has 32 divisors (see below), whose sum is σ = 190391216640. Its totient is φ = 57031153920.

The previous prime is 107014236337. The next prime is 107014236359. The reversal of 107014236345 is 543632410701.

107014236345 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 14 + 2 + 3 + 634 + 5 = 666.

It is not a de Polignac number, because 107014236345 - 23 = 107014236337 is a prime.

It is a super-2 number, since 2×1070142363452 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 119536 + ... + 477825.

It is an arithmetic number, because the mean of its divisors is an integer number (5949725520).

Almost surely, 2107014236345 is an apocalyptic number.

107014236345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107014236345 is a deficient number, since it is larger than the sum of its proper divisors (83376980295).

107014236345 is a wasteful number, since it uses less digits than its factorization.

107014236345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598702 (or 598696 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 107014236345 in words is "one hundred seven billion, fourteen million, two hundred thirty-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 1327 3981 6635 11943 19905 35829 59715 179145 597361 1792083 2986805 5376249 8960415 16128747 26881245 80643735 792698047 2378094141 3963490235 7134282423 11890470705 21402847269 35671412115 107014236345