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132023222100000 = 25325571129179367
BaseRepresentation
bin11110000001001100001101…
…010000010110000000100000
3122022110022000100100001020200
4132001030031100112000200
5114301032024324200000
61144442344141105200
736544235342620140
oct3601141520260040
9568408010301220
10132023222100000
11390808090454a0
1212982b99b58200
135888975bccc1a
142485d5ac32920
15103e361108500
hex78130d416020

132023222100000 has 3456 divisors, whose sum is σ = 610279739596800. Its totient is φ = 26267673600000.

The previous prime is 132023222099963. The next prime is 132023222100023. The reversal of 132023222100000 is 1222320231.

132023222100000 is a `hidden beast` number, since 1 + 320 + 2 + 322 + 21 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 359736299817 + ... + 359736300183.

It is an arithmetic number, because the mean of its divisors is an integer number (176585572800).

Almost surely, 2132023222100000 is an apocalyptic number.

132023222100000 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 132023222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305139869798400).

132023222100000 is an abundant number, since it is smaller than the sum of its proper divisors (478256517496800).

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

132023222100000 is a wasteful number, since it uses less digits than its factorization.

132023222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132023222100000 its reverse (1222320231), we get a palindrome (132024444420231).

The spelling of 132023222100000 in words is "one hundred thirty-two trillion, twenty-three billion, two hundred twenty-two million, one hundred thousand".