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112080996225 = 325211220292
BaseRepresentation
bin110100001100010001…
…1000100011110000001
3101201022010011112112100
41220120203010132001
53314020213334400
6123253404421013
711045320514562
oct1503043043601
9351263145470
10112080996225
1143595889400
121987b847769
13a752692c13
1455d3724169
152daeb59100
hex1a188c4781

112080996225 has 81 divisors (see below), whose sum is σ = 220767366729. Its totient is φ = 54315518400.

The previous prime is 112080996169. The next prime is 112080996229. The reversal of 112080996225 is 522699080211.

It is a happy number.

The square root of 112080996225 is 334785.

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

112080996225 is a `hidden beast` number, since 1 + 12 + 0 + 8 + 0 + 9 + 9 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31088389761 + 80992606464 = 176319^2 + 284592^2 .

It is not a de Polignac number, because 112080996225 - 29 = 112080995713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (112080996229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55238511 + ... + 55240539.

Almost surely, 2112080996225 is an apocalyptic number.

112080996225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112080996225 is the 334785-th square number.

112080996225 is the 167393-rd centered octagonal number.

It is an amenable number.

112080996225 is a deficient number, since it is larger than the sum of its proper divisors (108686370504).

112080996225 is an equidigital number, since it uses as much as digits as its factorization.

112080996225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 112080996225 in words is "one hundred twelve billion, eighty million, nine hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2029 2475 3025 5445 6087 9075 10145 18261 22319 27225 30435 50725 66957 91305 111595 152175 200871 245509 334785 456525 557975 736527 1004355 1227545 1673925 2209581 3682635 4116841 5021775 6137725 11047905 12350523 18413175 20584205 37051569 45285251 55239525 61752615 102921025 135855753 185257845 226426255 308763075 407567259 498137761 679278765 926289225 1132131275 1494413283 2037836295 2490688805 3396393825 4483239849 7472066415 10189181475 12453444025 22416199245 37360332075 112080996225