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234834412131 = 32112372064769
BaseRepresentation
bin1101101010110100111…
…0001100001001100011
3211110011000101011120200
43122231032030021203
512321420102142011
6255514220240243
722652262365604
oct3325516141143
9743130334520
10234834412131
11906579a3660
12396196a0083
13191b6146b67
14b51a605dab
1561966e6856
hex36ad38c263

234834412131 has 12 divisors (see below), whose sum is σ = 370042104120. Its totient is φ = 142323886080.

The previous prime is 234834412123. The next prime is 234834412139. The reversal of 234834412131 is 131214438432.

234834412131 is a `hidden beast` number, since 2 + 3 + 4 + 83 + 441 + 2 + 131 = 666.

234834412131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234834412123) and next prime (234834412139).

It is not a de Polignac number, because 234834412131 - 23 = 234834412123 is a prime.

It is a super-2 number, since 2×2348344121312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234834412139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1186032286 + ... + 1186032483.

It is an arithmetic number, because the mean of its divisors is an integer number (30836842010).

Almost surely, 2234834412131 is an apocalyptic number.

234834412131 is a deficient number, since it is larger than the sum of its proper divisors (135207691989).

234834412131 is a wasteful number, since it uses less digits than its factorization.

234834412131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372064786 (or 2372064783 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 234834412131 in words is "two hundred thirty-four billion, eight hundred thirty-four million, four hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 2372064769 7116194307 21348582921 26092712459 78278137377 234834412131