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132211331100000 = 253255146901479
BaseRepresentation
bin11110000011111011011001…
…011011001110110101100000
3122100010021112222121100021200
4132003323121123032311200
5114312122301230200000
61145105014053521200
736563645015005515
oct3603733133166540
9570107488540250
10132211331100000
1139143568733369
12129b3537343200
1358a062382c709
1424910c398b30c
1510441c068d500
hex783ed96ced60

132211331100000 has 216 divisors, whose sum is σ = 469939891140720. Its totient is φ = 35256354720000.

The previous prime is 132211331099977. The next prime is 132211331100001. The reversal of 132211331100000 is 1133112231.

132211331100000 is a `hidden beast` number, since 1 + 322 + 1 + 1 + 331 + 10 + 0 + 0 + 0 + 0 = 666.

132211331100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211331100001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72550740 + ... + 74350739.

It is an arithmetic number, because the mean of its divisors is an integer number (2175647644170).

Almost surely, 2132211331100000 is an apocalyptic number.

132211331100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132211331100000 is an abundant number, since it is smaller than the sum of its proper divisors (337728560040720).

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

132211331100000 is an equidigital number, since it uses as much as digits as its factorization.

132211331100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146901520 (or 146901489 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132211331100000 its reverse (1133112231), we get a palindrome (132212464212231).

The spelling of 132211331100000 in words is "one hundred thirty-two trillion, two hundred eleven billion, three hundred thirty-one million, one hundred thousand".