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132122320302000 = 24353710589297079
BaseRepresentation
bin11110000010101000011111…
…111101111110111110110000
3122022210202210200002022012110
4132002220133331332332300
5114304143002444131000
61145000053411325320
736554344156501020
oct3602503775767660
9568722720068173
10132122320302000
1139109841430396
121299a2358b0840
135895109936782
14248aa7c1c9a80
151041c110ad850
hex782a1ff7efb0

132122320302000 has 320 divisors, whose sum is σ = 486861738854400. Its totient is φ = 30196433894400.

The previous prime is 132122320301903. The next prime is 132122320302031. The reversal of 132122320302000 is 203023221231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444589461 + ... + 444886539.

It is an arithmetic number, because the mean of its divisors is an integer number (1521442933920).

Almost surely, 2132122320302000 is an apocalyptic number.

132122320302000 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 132122320302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243430869427200).

132122320302000 is an abundant number, since it is smaller than the sum of its proper divisors (354739418552400).

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

132122320302000 is a wasteful number, since it uses less digits than its factorization.

132122320302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307701 (or 307685 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132122320302000 its reverse (203023221231), we get a palindrome (132325343523231).

The spelling of 132122320302000 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, three hundred twenty million, three hundred two thousand".