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113300123121 = 3240213130789
BaseRepresentation
bin110100110000100110…
…1101010110111110001
3101211110002011121020100
41221201031222313301
53324014312414441
6124014354503013
711120453104443
oct1514115526761
9354402147210
10113300123121
1144060a69499
1219b5bb94a69
13a8b8123293
1456ab5d2493
152e31bc1cb6
hex1a6136adf1

113300123121 has 12 divisors (see below), whose sum is σ = 163696485940. Its totient is φ = 75514606560.

The previous prime is 113300123077. The next prime is 113300123129. The reversal of 113300123121 is 121321003311.

113300123121 is a `hidden beast` number, since 11 + 330 + 0 + 12 + 312 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3964087521 + 109336035600 = 62961^2 + 330660^2 .

It is not a de Polignac number, because 113300123121 - 223 = 113291734513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113300123094 and 113300123103.

It is not an unprimeable number, because it can be changed into a prime (113300123129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1529206 + ... + 1601583.

Almost surely, 2113300123121 is an apocalyptic number.

It is an amenable number.

113300123121 is a deficient number, since it is larger than the sum of its proper divisors (50396362819).

113300123121 is a wasteful number, since it uses less digits than its factorization.

113300123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134816 (or 3134813 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113300123121 its reverse (121321003311), we get a palindrome (234621126432).

The spelling of 113300123121 in words is "one hundred thirteen billion, three hundred million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 4021 12063 36189 3130789 9392367 28177101 12588902569 37766707707 113300123121