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131034034314 = 2332426556191
BaseRepresentation
bin111101000001000111…
…1001011000010001010
3110112012222122122001000
41322002033023002022
54121324203044224
6140110214035430
712316100625441
oct1720217130212
9415188578030
10131034034314
1150631329447
122148b048b76
13c48319a061
1464b0955d58
15361da190c9
hex1e823cb08a

131034034314 has 16 divisors (see below), whose sum is σ = 291186743040. Its totient is φ = 43678011420.

The previous prime is 131034034297. The next prime is 131034034343. The reversal of 131034034314 is 413430430131.

131034034314 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 340 + 3 + 4 + 314 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1213278042 + ... + 1213278149.

It is an arithmetic number, because the mean of its divisors is an integer number (18199171440).

Almost surely, 2131034034314 is an apocalyptic number.

131034034314 is an abundant number, since it is smaller than the sum of its proper divisors (160152708726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131034034314 is a wasteful number, since it uses less digits than its factorization.

131034034314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426556202 (or 2426556196 counting only the distinct ones).

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

Adding to 131034034314 its reverse (413430430131), we get a palindrome (544464464445).

The spelling of 131034034314 in words is "one hundred thirty-one billion, thirty-four million, thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 2426556191 4853112382 7279668573 14559337146 21839005719 43678011438 65517017157 131034034314