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132152272200 = 233352132278293
BaseRepresentation
bin111101100010011100…
…0111010010101001000
3110122002220211000001000
41323010320322111020
54131121440202300
6140413201455000
712355566531264
oct1730470722510
9418086730030
10132152272200
1151055570093
1221741641460
13c600a65090
1465792810a4
153686ca3c00
hex1ec4e3a548

132152272200 has 384 divisors, whose sum is σ = 492424732800. Its totient is φ = 32382581760.

The previous prime is 132152272177. The next prime is 132152272211. The reversal of 132152272200 is 2272251231.

132152272200 is a `hidden beast` number, since 1 + 3 + 215 + 227 + 220 + 0 = 666.

It is a super-3 number, since 3×1321522722003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15931254 + ... + 15939546.

It is an arithmetic number, because the mean of its divisors is an integer number (1282356075).

Almost surely, 2132152272200 is an apocalyptic number.

132152272200 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 132152272200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246212366400).

132152272200 is an abundant number, since it is smaller than the sum of its proper divisors (360272460600).

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

132152272200 is a wasteful number, since it uses less digits than its factorization.

132152272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 132152272200 in words is "one hundred thirty-two billion, one hundred fifty-two million, two hundred seventy-two thousand, two hundred".