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132206298120 = 233551347113197
BaseRepresentation
bin111101100100000011…
…1000000010000001000
3110122020200110210200000
41323020013000100020
54131224303014440
6140422411443000
712360123664251
oct1731007002010
9418220423600
10132206298120
1151083010606
1221757756460
13c60bccca90
146582505b28
15368b8c6730
hex1ec81c0408

132206298120 has 768 divisors, whose sum is σ = 496916259840. Its totient is φ = 31408570368.

The previous prime is 132206298097. The next prime is 132206298163. The reversal of 132206298120 is 21892602231.

It is a happy number.

132206298120 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 629 + 8 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 671097862 + ... + 671098058.

It is an arithmetic number, because the mean of its divisors is an integer number (647026380).

Almost surely, 2132206298120 is an apocalyptic number.

132206298120 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 132206298120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248458129920).

132206298120 is an abundant number, since it is smaller than the sum of its proper divisors (364709961720).

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

132206298120 is a wasteful number, since it uses less digits than its factorization.

132206298120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 132206298120 in words is "one hundred thirty-two billion, two hundred six million, two hundred ninety-eight thousand, one hundred twenty".