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132313001320200 = 233527319979151201
BaseRepresentation
bin11110000101011010000101…
…011100010101111100001000
3122100110222222120001122220210
4132011122011130111330020
5114320304011314221300
61145223430443321120
736604204342425621
oct3605320534257410
9570428876048823
10132313001320200
11391826a0941638
1212a0b1905201a0
1358aa0a738ca1c
142495daa780a48
151046b71348050
hex785685715f08

132313001320200 has 192 divisors, whose sum is σ = 415812636734400. Its totient is φ = 34798159872000.

The previous prime is 132313001320177. The next prime is 132313001320207. The reversal of 132313001320200 is 2023100313231.

It is not an unprimeable number, because it can be changed into a prime (132313001320207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875004600 + ... + 875155800.

It is an arithmetic number, because the mean of its divisors is an integer number (2165690816325).

Almost surely, 2132313001320200 is an apocalyptic number.

132313001320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132313001320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207906318367200).

132313001320200 is an abundant number, since it is smaller than the sum of its proper divisors (283499635414200).

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

132313001320200 is a wasteful number, since it uses less digits than its factorization.

132313001320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171272 (or 171263 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132313001320200 its reverse (2023100313231), we get a palindrome (134336101633431).

The spelling of 132313001320200 in words is "one hundred thirty-two trillion, three hundred thirteen billion, one million, three hundred twenty thousand, two hundred".