Search a number
-
+
113135697 = 37172179
BaseRepresentation
bin1101011111001…
…01000001010001
321212212220000000
412233211001101
5212430320242
615120520213
72542431453
oct657450121
9255786000
10113135697
1158953584
1231a80069
131a5926cc
14110502d3
159deba4c
hex6be5051

113135697 has 48 divisors (see below), whose sum is σ = 181252800. Its totient is φ = 70590528.

The previous prime is 113135683. The next prime is 113135717. The reversal of 113135697 is 796531311.

It is a de Polignac number, because none of the positive numbers 2k-113135697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113135657) 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 47 ways as a sum of consecutive naturals, for example, 631954 + ... + 632132.

It is an arithmetic number, because the mean of its divisors is an integer number (3776100).

Almost surely, 2113135697 is an apocalyptic number.

113135697 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

113135697 is a deficient number, since it is larger than the sum of its proper divisors (68117103).

113135697 is an frugal number, since it uses more digits than its factorization.

113135697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 199 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 113135697 is about 10636.5265477034. The cubic root of 113135697 is about 483.6522571586.

The spelling of 113135697 in words is "one hundred thirteen million, one hundred thirty-five thousand, six hundred ninety-seven".

Divisors: 1 3 9 17 27 51 81 153 179 243 289 459 537 729 867 1377 1611 2187 2601 3043 4131 4833 7803 9129 12393 14499 23409 27387 37179 43497 51731 70227 82161 130491 155193 210681 246483 391473 465579 632043 739449 1396737 2218347 4190211 6655041 12570633 37711899 113135697