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331132113 = 32134169029
BaseRepresentation
bin10011101111001…
…010110011010001
3212002002020212100
4103233022303101
51134232211423
652505151013
711130401514
oct2357126321
9762066770
10331132113
1115aa08504
1292a8b469
13537ab180
1431d98d7b
151e10d343
hex13bcacd1

331132113 has 24 divisors (see below), whose sum is σ = 527665320. Its totient is φ = 198800640.

The previous prime is 331132099. The next prime is 331132117. The reversal of 331132113 is 311231133.

It is a happy number.

331132113 is a `hidden beast` number, since 331 + 1 + 321 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 318515409 = 3552^2 + 17847^2 .

It is not a de Polignac number, because 331132113 - 24 = 331132097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331132117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29718 + ... + 39311.

It is an arithmetic number, because the mean of its divisors is an integer number (21986055).

Almost surely, 2331132113 is an apocalyptic number.

It is an amenable number.

331132113 is a deficient number, since it is larger than the sum of its proper divisors (196533207).

331132113 is a wasteful number, since it uses less digits than its factorization.

331132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69089 (or 69086 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 331132113 is about 18197.0358300466. The cubic root of 331132113 is about 691.8316614427.

Adding to 331132113 its reverse (311231133), we get a palindrome (642363246).

The spelling of 331132113 in words is "three hundred thirty-one million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 69029 207087 621261 897377 2692131 2830189 8076393 8490567 25471701 36792457 110377371 331132113