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132100872372 = 22327524209811
BaseRepresentation
bin111101100000111010…
…0110101100010110100
3110121222100002121201200
41323001310311202310
54131020310403442
6140404124052500
712354403613460
oct1730164654264
9417870077650
10132100872372
1151029553697
1221728394130
13c5c3209791
1465725014a0
1536824ee34c
hex1ec1d358b4

132100872372 has 36 divisors (see below), whose sum is σ = 381624743136. Its totient is φ = 37743106320.

The previous prime is 132100872361. The next prime is 132100872389. The reversal of 132100872372 is 273278001231.

132100872372 is a `hidden beast` number, since 1 + 3 + 210 + 0 + 8 + 72 + 372 = 666.

132100872372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1321008723723 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262104654 + ... + 262105157.

Almost surely, 2132100872372 is an apocalyptic number.

132100872372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132100872372 is an abundant number, since it is smaller than the sum of its proper divisors (249523870764).

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

132100872372 is a wasteful number, since it uses less digits than its factorization.

132100872372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524209828 (or 524209823 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 132100872372 in words is "one hundred thirty-two billion, one hundred million, eight hundred seventy-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 524209811 1048419622 1572629433 2096839244 3145258866 3669468677 4717888299 6290517732 7338937354 9435776598 11008406031 14677874708 18871553196 22016812062 33025218093 44033624124 66050436186 132100872372