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113196105 = 32511220789
BaseRepresentation
bin1101011111100…
…11110001001001
321212222221212100
412233303301021
5212434233410
615122104013
72543102541
oct657636111
9255887770
10113196105
1158994a00
1231aab009
131a5b4059
1411068321
159e0e8c0
hex6bf3c49

113196105 has 36 divisors (see below), whose sum is σ = 215675460. Its totient is φ = 54880320.

The previous prime is 113196103. The next prime is 113196131. The reversal of 113196105 is 501691311.

113196105 is a `hidden beast` number, since 11 + 31 + 9 + 610 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73051209 + 40144896 = 8547^2 + 6336^2 .

It is not a de Polignac number, because 113196105 - 21 = 113196103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113196101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4950 + ... + 15839.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2113196105 is an apocalyptic number.

113196105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113196105 is a deficient number, since it is larger than the sum of its proper divisors (102479355).

113196105 is a wasteful number, since it uses less digits than its factorization.

113196105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20822 (or 20808 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 113196105 is about 10639.3658175664. The cubic root of 113196105 is about 483.7383227356.

It can be divided in two parts, 11319 and 6105, that added together give a square (17424 = 1322).

The spelling of 113196105 in words is "one hundred thirteen million, one hundred ninety-six thousand, one hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 20789 62367 103945 187101 228679 311835 686037 935505 1143395 2058111 2515469 3430185 7546407 10290555 12577345 22639221 37732035 113196105