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132313010321120 = 25519295701263257
BaseRepresentation
bin11110000101011010000101…
…111110101011011011100000
3122100111000000011222221212012
4132011122011332223123200
5114320304021120233440
61145223431404252052
736604204512064436
oct3605320576533340
9570430004887765
10132313010321120
11391826a5a2a112
1212a0b193541028
1358aa0a91c1905
142495daba44d56
151046b72024e65
hex785685fab6e0

132313010321120 has 192 divisors, whose sum is σ = 340448825908800. Its totient is φ = 48402037555200.

The previous prime is 132313010321113. The next prime is 132313010321189. The reversal of 132313010321120 is 21123010313231.

132313010321120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502468532 + ... + 502731788.

It is an arithmetic number, because the mean of its divisors is an integer number (1773170968275).

Almost surely, 2132313010321120 is an apocalyptic number.

132313010321120 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 132313010321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170224412954400).

132313010321120 is an abundant number, since it is smaller than the sum of its proper divisors (208135815587680).

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

132313010321120 is a wasteful number, since it uses less digits than its factorization.

132313010321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269021 (or 269013 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 132313010321120 its reverse (21123010313231), we get a palindrome (153436020634351).

The spelling of 132313010321120 in words is "one hundred thirty-two trillion, three hundred thirteen billion, ten million, three hundred twenty-one thousand, one hundred twenty".