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107113412 = 227419587
BaseRepresentation
bin1100110001001…
…10101111000100
321110112220222102
412120212233010
5204410112122
614343451232
72440310000
oct630465704
9243486872
10107113412
115550a98a
122ba56b18
1319264523
1410323700
15960c492
hex6626bc4

107113412 has 60 divisors (see below), whose sum is σ = 230578320. Its totient is φ = 43415568.

The previous prime is 107113399. The next prime is 107113427. The reversal of 107113412 is 214311701.

It is a happy number.

It is a super-2 number, since 2×1071134122 = 22946566060563488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 182183 + ... + 182769.

It is an arithmetic number, because the mean of its divisors is an integer number (3842972).

Almost surely, 2107113412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107113412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115289160).

107113412 is an abundant number, since it is smaller than the sum of its proper divisors (123464908).

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

107113412 is an equidigital number, since it uses as much as digits as its factorization.

107113412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 107113412 is about 10349.5609568716. The cubic root of 107113412 is about 474.9136123599.

The spelling of 107113412 in words is "one hundred seven million, one hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 587 686 931 1174 1372 1862 2348 2401 3724 4109 4802 6517 8218 9604 11153 13034 16436 22306 26068 28763 44612 45619 57526 78071 91238 115052 156142 182476 201341 312284 402682 546497 805364 1092994 1409387 2185988 2818774 3825479 5637548 7650958 15301916 26778353 53556706 107113412