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113906106 = 23217213677
BaseRepresentation
bin1101100101000…
…01000110111010
321221100000210200
412302201012322
5213124443411
615145223030
72552120526
oct662410672
9257300720
10113906106
115932a386
1232191a76
131a7a2282
14111b0d86
159eeee56
hex6ca11ba

113906106 has 24 divisors (see below), whose sum is σ = 247007124. Its totient is φ = 37936320.

The previous prime is 113906099. The next prime is 113906119. The reversal of 113906106 is 601609311.

113906106 is a `hidden beast` number, since 11 + 39 + 0 + 610 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104960025 + 8946081 = 10245^2 + 2991^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113906106.

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 11 ways as a sum of consecutive naturals, for example, 29140 + ... + 32816.

Almost surely, 2113906106 is an apocalyptic number.

113906106 is an abundant number, since it is smaller than the sum of its proper divisors (133101018).

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

113906106 is a wasteful number, since it uses less digits than its factorization.

113906106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 113906106 is about 10672.6803568738. The cubic root of 113906106 is about 484.7476009848.

The spelling of 113906106 in words is "one hundred thirteen million, nine hundred six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 1721 3442 3677 5163 7354 10326 11031 15489 22062 30978 33093 66186 6328117 12656234 18984351 37968702 56953053 113906106