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132914613213 = 3246132035337
BaseRepresentation
bin111101111001001010…
…1000000101111011101
3110201002001021221022100
41323302111000233131
54134202120110323
6141020553235313
712413514366654
oct1736225005735
9421061257270
10132914613213
115140691a188
1221914a02b39
13c6c2990b35
14660c60619b
1536cdb8c943
hex1ef2540bdd

132914613213 has 12 divisors (see below), whose sum is σ = 192404240028. Its totient is φ = 88417527360.

The previous prime is 132914613197. The next prime is 132914613263. The reversal of 132914613213 is 312316419231.

132914613213 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 14 + 613 + 21 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25889453604 + 107025159609 = 160902^2 + 327147^2 .

It is not a de Polignac number, because 132914613213 - 24 = 132914613197 is a prime.

It is a super-2 number, since 2×1329146132132 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132914613263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16013520 + ... + 16021817.

It is an arithmetic number, because the mean of its divisors is an integer number (16033686669).

Almost surely, 2132914613213 is an apocalyptic number.

It is an amenable number.

132914613213 is a deficient number, since it is larger than the sum of its proper divisors (59489626815).

132914613213 is a wasteful number, since it uses less digits than its factorization.

132914613213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32035804 (or 32035801 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 132914613213 in words is "one hundred thirty-two billion, nine hundred fourteen million, six hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 461 1383 4149 32035337 96106011 288318033 14768290357 44304871071 132914613213