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134340131313 = 3319318447471
BaseRepresentation
bin111110100011101001…
…0111011100111110001
3110211202101122202112000
41331013102323213301
54200112033200223
6141414235124213
712464034163263
oct1750722734761
9424671582460
10134340131313
1151a78558013
12220522a3669
13c88c10557b
146705a7bb33
153763dc3543
hex1f474bb9f1

134340131313 has 32 divisors (see below), whose sum is σ = 216255283200. Its totient is φ = 82109408400.

The previous prime is 134340131297. The next prime is 134340131369. The reversal of 134340131313 is 313131043431.

134340131313 is a `hidden beast` number, since 1 + 3 + 4 + 340 + 1 + 3 + 1 + 313 = 666.

It is not a de Polignac number, because 134340131313 - 24 = 134340131297 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (134340131383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4207833 + ... + 4239638.

It is an arithmetic number, because the mean of its divisors is an integer number (6757977600).

Almost surely, 2134340131313 is an apocalyptic number.

It is an amenable number.

134340131313 is a deficient number, since it is larger than the sum of its proper divisors (81915151887).

134340131313 is a wasteful number, since it uses less digits than its factorization.

134340131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447530 (or 8447524 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 134340131313 its reverse (313131043431), we get a palindrome (447471174744).

The spelling of 134340131313 in words is "one hundred thirty-four billion, three hundred forty million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 1767 5301 15903 8447471 25342413 76027239 160501949 228081717 261871601 481505847 785614803 1444517541 2356844409 4333552623 4975560419 7070533227 14926681257 44780043771 134340131313