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107187971 = 1126831297
BaseRepresentation
bin1100110001110…
…00111100000011
321110200201020212
412120320330003
5204420003341
614345224335
72441040242
oct630707403
9243621225
10107187971
1155560a00
122ba920ab
131928c447
1410342959
1596245eb
hex6638f03

107187971 has 12 divisors (see below), whose sum is σ = 118081656. Its totient is φ = 97225920.

The previous prime is 107187959. The next prime is 107188013. The reversal of 107187971 is 179781701.

It is a de Polignac number, because none of the positive numbers 2k-107187971 is a prime.

It is a super-2 number, since 2×1071879712 = 22978522254193682, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107187901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 81995 + ... + 83291.

It is an arithmetic number, because the mean of its divisors is an integer number (9840138).

Almost surely, 2107187971 is an apocalyptic number.

107187971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107187971 is a deficient number, since it is larger than the sum of its proper divisors (10893685).

107187971 is a wasteful number, since it uses less digits than its factorization.

107187971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 41.

The square root of 107187971 is about 10353.1623671224. The cubic root of 107187971 is about 475.0237786803.

The spelling of 107187971 in words is "one hundred seven million, one hundred eighty-seven thousand, nine hundred seventy-one".

Divisors: 1 11 121 683 1297 7513 14267 82643 156937 885851 9744361 107187971