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132323100323013 = 3330720997605383
BaseRepresentation
bin11110000101100011011111…
…011000111110110011000101
3122100111222001101010011101000
4132011203133120332303011
5114320440202140314023
61145232220524123513
736605012531510535
oct3605433730766305
9570458041104330
10132323100323013
1139186a03526956
1212a1112a696599
1358ab026731b32
142496687b154c5
151047062c60243
hex7858df63ecc5

132323100323013 has 32 divisors (see below), whose sum is σ = 196766494848000. Its totient is φ = 87886151629488.

The previous prime is 132323100323003. The next prime is 132323100323021. The reversal of 132323100323013 is 310323001323231.

132323100323013 is a `hidden beast` number, since 1 + 3 + 2 + 323 + 1 + 0 + 0 + 32 + 301 + 3 = 666.

It is not a de Polignac number, because 132323100323013 - 25 = 132323100322981 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132323100323003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13595920 + ... + 21201302.

It is an arithmetic number, because the mean of its divisors is an integer number (6148952964000).

Almost surely, 2132323100323013 is an apocalyptic number.

It is an amenable number.

132323100323013 is a deficient number, since it is larger than the sum of its proper divisors (64443394524987).

132323100323013 is a wasteful number, since it uses less digits than its factorization.

132323100323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607798 (or 7607792 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132323100323013 its reverse (310323001323231), we get a palindrome (442646101646244).

The spelling of 132323100323013 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, one hundred million, three hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 27 307 921 2099 2763 6297 8289 18891 56673 644393 1933179 5799537 7605383 17398611 22816149 68448447 205345341 2334852581 7004557743 15963698917 21013673229 47891096751 63041019687 143673290253 431019870759 4900855567519 14702566702557 44107700107671 132323100323013