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106313715 = 36529167
BaseRepresentation
bin1100101011000…
…11011111110011
321102001022000000
412111203133303
5204204014330
614314401043
72430436344
oct625433763
9242038000
10106313715
1155014082
122b730183
1319044531
14101960cb
159500560
hex65637f3

106313715 has 28 divisors (see below), whose sum is σ = 191283744. Its totient is φ = 56698704.

The previous prime is 106313651. The next prime is 106313717. The reversal of 106313715 is 517313601.

106313715 is a `hidden beast` number, since 10 + 631 + 3 + 7 + 15 = 666.

It is not a de Polignac number, because 106313715 - 26 = 106313651 is a prime.

It is a super-2 number, since 2×1063137152 = 22605211994202450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106313717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10939 + ... + 18228.

Almost surely, 2106313715 is an apocalyptic number.

106313715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106313715 is a deficient number, since it is larger than the sum of its proper divisors (84970029).

106313715 is an frugal number, since it uses more digits than its factorization.

106313715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29190 (or 29175 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 106313715 is about 10310.8542323127. The cubic root of 106313715 is about 473.7287744915.

The spelling of 106313715 in words is "one hundred six million, three hundred thirteen thousand, seven hundred fifteen".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 29167 87501 145835 262503 437505 787509 1312515 2362527 3937545 7087581 11812635 21262743 35437905 106313715