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132211203332000 = 25531315541163601
BaseRepresentation
bin11110000011111011010001…
…110011110101011110100000
3122100010021020002012001112112
4132003323101303311132200
5114312122021023111000
61145104553251214452
736563641604002202
oct3603732163653640
9570107202161475
10132211203332000
11391435025a6381
12129b35005a7428
1358a0603215b50
1424910b0a0c772
1510441b4351235
hex783ed1cf57a0

132211203332000 has 192 divisors, whose sum is σ = 349855492660128. Its totient is φ = 48813004800000.

The previous prime is 132211203331969. The next prime is 132211203332053. The reversal of 132211203332000 is 233302112231.

It can be written as a sum of positive squares in 16 ways, for example, as 4115980748944 + 128095222583056 = 2028788^2 + 11317916^2 .

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, 808050200 + ... + 808213800.

Almost surely, 2132211203332000 is an apocalyptic number.

132211203332000 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 132211203332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174927746330064).

132211203332000 is an abundant number, since it is smaller than the sum of its proper divisors (217644289328128).

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

132211203332000 is a wasteful number, since it uses less digits than its factorization.

132211203332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179180 (or 179162 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132211203332000 its reverse (233302112231), we get a palindrome (132444505444231).

The spelling of 132211203332000 in words is "one hundred thirty-two trillion, two hundred eleven billion, two hundred three million, three hundred thirty-two thousand".