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132111332100 = 223452113474273
BaseRepresentation
bin111101100001001110…
…0101111001100000100
3110122000001210000210000
41323002130233030010
54131031000111400
6140405140201300
712354561536346
oct1730234571404
9418001700700
10132111332100
11510344481a0
122172b999230
13c5c542c677
146573a65296
1536833b8600
hex1ec272f304

132111332100 has 360 divisors, whose sum is σ = 468640817568. Its totient is φ = 31927219200.

The previous prime is 132111332099. The next prime is 132111332113. The reversal of 132111332100 is 1233111231.

132111332100 is a `hidden beast` number, since 1 + 321 + 1 + 1 + 332 + 10 + 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 119 ways as a sum of consecutive naturals, for example, 30915564 + ... + 30919836.

Almost surely, 2132111332100 is an apocalyptic number.

132111332100 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 132111332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234320408784).

132111332100 is an abundant number, since it is smaller than the sum of its proper divisors (336529485468).

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

132111332100 is a wasteful number, since it uses less digits than its factorization.

132111332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4641 counting only the distinct ones).

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

Adding to 132111332100 its reverse (1233111231), we get a palindrome (133344443331).

The spelling of 132111332100 in words is "one hundred thirty-two billion, one hundred eleven million, three hundred thirty-two thousand, one hundred".