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132234991080100 = 225243537114235743
BaseRepresentation
bin11110000100010001011011…
…101010111001001010100100
3122100012112121220000212100221
4132010101123222321022210
5114313014230204030400
61145123525525214124
736565443231346366
oct3604213352711244
9570175556025327
10132234991080100
11391525aa118627
12129b803ab61344
1358a292455833c
1424922c9d96d36
151044b078b7c1a
hex78445bab92a4

132234991080100 has 288 divisors, whose sum is σ = 303642869612544. Its totient is φ = 49931366284800.

The previous prime is 132234991080091. The next prime is 132234991080133. The reversal of 132234991080100 is 1080199432231.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 23025417829 + ... + 23025423571.

It is an arithmetic number, because the mean of its divisors is an integer number (1054315519488).

Almost surely, 2132234991080100 is an apocalyptic number.

132234991080100 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 132234991080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151821434806272).

132234991080100 is an abundant number, since it is smaller than the sum of its proper divisors (171407878532444).

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

132234991080100 is a wasteful number, since it uses less digits than its factorization.

132234991080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 132234991080100 in words is "one hundred thirty-two trillion, two hundred thirty-four billion, nine hundred ninety-one million, eighty thousand, one hundred".