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331332129 = 3236814681
BaseRepresentation
bin10011101111111…
…011101000100001
3212002110102020100
4103233323220201
51134310112004
652513333013
711132163612
oct2357735041
9762412210
10331332129
11160034807
1292b67169
135384b21b
143200bc09
151e14c739
hex13bfba21

331332129 has 6 divisors (see below), whose sum is σ = 478590866. Its totient is φ = 220888080.

The previous prime is 331332121. The next prime is 331332139. The reversal of 331332129 is 921233133.

331332129 is a `hidden beast` number, since 3 + 313 + 321 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 182979729 + 148352400 = 13527^2 + 12180^2 .

It is not a de Polignac number, because 331332129 - 23 = 331332121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18407332 + ... + 18407349.

Almost surely, 2331332129 is an apocalyptic number.

It is an amenable number.

331332129 is a deficient number, since it is larger than the sum of its proper divisors (147258737).

331332129 is a wasteful number, since it uses less digits than its factorization.

331332129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36814687 (or 36814684 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 331332129 is about 18202.5308405178. The cubic root of 331332129 is about 691.9709306788.

The spelling of 331332129 in words is "three hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 36814681 110444043 331332129