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113168324025 = 32524125472
BaseRepresentation
bin110100101100101011…
…0111001010110111001
3101211002220011111212100
41221121112321112321
53323232042332100
6123553325534013
711114262611511
oct1513126712671
9354086144770
10113168324025
1143aa3628919
1219b23a14309
13a896a27953
145697cc4841
152e2533a400
hex1a595b95b9

113168324025 has 81 divisors (see below), whose sum is σ = 208141968333. Its totient is φ = 58776681600.

The previous prime is 113168324011. The next prime is 113168324149. The reversal of 113168324025 is 520423861311.

The square root of 113168324025 is 336405.

It is a perfect power (a square), and thus also a powerful number.

113168324025 is a `hidden beast` number, since 1 + 1 + 316 + 83 + 240 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47634372009 + 65533952016 = 218253^2 + 255996^2 .

It is not a de Polignac number, because 113168324025 - 25 = 113168323993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 206888802 + ... + 206889348.

Almost surely, 2113168324025 is an apocalyptic number.

113168324025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113168324025 is the 336405-th square number.

113168324025 is the 168203-rd centered octagonal number.

It is an amenable number.

113168324025 is a deficient number, since it is larger than the sum of its proper divisors (94973644308).

113168324025 is an frugal number, since it uses more digits than its factorization.

113168324025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 113168324025 by its sum of digits (36), we get a square (4074059664900 = 20184302).

The spelling of 113168324025 in words is "one hundred thirteen billion, one hundred sixty-eight million, three hundred twenty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 547 615 1025 1641 1681 1845 2735 3075 4923 5043 8205 8405 9225 13675 15129 22427 24615 25215 41025 42025 67281 75645 112135 123075 126075 201843 299209 336405 378225 560675 897627 919507 1009215 1496045 1682025 2692881 2758521 4488135 4597535 5046075 7480225 8275563 12267569 13464405 13792605 22440675 22987675 36802707 41377815 61337845 67322025 68963025 110408121 184013535 206889075 306689225 502970329 552040605 920067675 1508910987 2514851645 2760203025 4526732961 7544554935 12574258225 22633664805 37722774675 113168324025