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132151120432100 = 2252711210714581549
BaseRepresentation
bin11110000011000011010100…
…100101110000101111100100
3122022220112010210121111111122
4132003003110211300233210
5114310130443312311400
61145021215302153112
736556413646532630
oct3603032445605744
9568815123544448
10132151120432100
113911aa80347400
12129a3932a22798
135897a49551683
14248c211139dc0
1510428496c5685
hex7830d4970be4

132151120432100 has 216 divisors, whose sum is σ = 363604130971200. Its totient is φ = 40805003923200.

The previous prime is 132151120432049. The next prime is 132151120432139. The reversal of 132151120432100 is 1234021151231.

It is a self number, because there is not a number n which added to its sum of digits gives 132151120432100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1772126 + ... + 16353674.

It is an arithmetic number, because the mean of its divisors is an integer number (1683352458200).

Almost surely, 2132151120432100 is an apocalyptic number.

132151120432100 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 132151120432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181802065485600).

132151120432100 is an abundant number, since it is smaller than the sum of its proper divisors (231453010539100).

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

132151120432100 is a wasteful number, since it uses less digits than its factorization.

132151120432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14581699 (or 14581681 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 132151120432100 its reverse (1234021151231), we get a palindrome (133385141583331).

The spelling of 132151120432100 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred twenty million, four hundred thirty-two thousand, one hundred".