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107101314 = 23210095897
BaseRepresentation
bin1100110001000…
…11110010000010
321110112022101100
412120203302002
5204404220224
614343315230
72440226505
oct630436202
9243468340
10107101314
1155501891
122ba4bb16
131925bb78
141031d13c
159608ac9
hex6623c82

107101314 has 24 divisors (see below), whose sum is σ = 232322220. Its totient is φ = 35659008.

The previous prime is 107101301. The next prime is 107101331. The reversal of 107101314 is 413101701.

It can be written as a sum of positive squares in 2 ways, for example, as 104714289 + 2387025 = 10233^2 + 1545^2 .

It is a super-2 number, since 2×1071013142 = 22941382921053192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15214 + ... + 21110.

Almost surely, 2107101314 is an apocalyptic number.

107101314 is an abundant number, since it is smaller than the sum of its proper divisors (125220906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107101314 is a wasteful number, since it uses less digits than its factorization.

107101314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 107101314 is about 10348.9764711299. The cubic root of 107101314 is about 474.8957318689.

The spelling of 107101314 in words is "one hundred seven million, one hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 1009 2018 3027 5897 6054 9081 11794 17691 18162 35382 53073 106146 5950073 11900146 17850219 35700438 53550657 107101314