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132122022134310 = 2325132331449352739
BaseRepresentation
bin11110000010101000001110…
…001100100100001000100110
3122022210202000220000211000200
4132002220032030210020212
5114304141400131244220
61145000004040451330
736554333606222325
oct3602501614441046
9568722026024020
10132122022134310
11391096a909860a
121299a171a79b46
13589508cc2a9a0
14248aa507720bc
151041be4d12890
hex782a0e324226

132122022134310 has 384 divisors, whose sum is σ = 399367148544000. Its totient is φ = 30037700689920.

The previous prime is 132122022134231. The next prime is 132122022134329. The reversal of 132122022134310 is 13431220221231.

132122022134310 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 2 + 0 + 221 + 3 + 431 + 0 = 666.

It is a super-2 number, since 2×1321220221343102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 374383921 + ... + 374736659.

It is an arithmetic number, because the mean of its divisors is an integer number (1040018616000).

Almost surely, 2132122022134310 is an apocalyptic number.

132122022134310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122022134310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199683574272000).

132122022134310 is an abundant number, since it is smaller than the sum of its proper divisors (267245126409690).

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

132122022134310 is a wasteful number, since it uses less digits than its factorization.

132122022134310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353268 (or 353265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132122022134310 its reverse (13431220221231), we get a palindrome (145553242355541).

The spelling of 132122022134310 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, twenty-two million, one hundred thirty-four thousand, three hundred ten".