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34234006131 = 341332510927
BaseRepresentation
bin11111111000100000…
…010111101001110011
310021100211022200220000
4133320200113221303
51030102401144011
623421001321043
72321231152023
oct377040275163
9107324280800
1034234006131
1113578227556
126774a96183
1332c7619380
14192a8b3a83
15d556c4356
hex7f8817a73

34234006131 has 20 divisors (see below), whose sum is σ = 55073512032. Its totient is φ = 21067080048.

The previous prime is 34234006129. The next prime is 34234006189. The reversal of 34234006131 is 13160043243.

34234006131 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 40 + 0 + 613 + 1 = 666.

It is not a de Polignac number, because 34234006131 - 21 = 34234006129 is a prime.

It is a super-2 number, since 2×342340061312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34234006095 and 34234006104.

It is not an unprimeable number, because it can be changed into a prime (34234006031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16254411 + ... + 16256516.

Almost surely, 234234006131 is an apocalyptic number.

34234006131 is a deficient number, since it is larger than the sum of its proper divisors (20839505901).

34234006131 is a wasteful number, since it uses less digits than its factorization.

34234006131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32510952 (or 32510943 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34234006131 its reverse (13160043243), we get a palindrome (47394049374).

The spelling of 34234006131 in words is "thirty-four billion, two hundred thirty-four million, six thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 32510927 97532781 292598343 422642051 877795029 1267926153 2633385087 3803778459 11411335377 34234006131