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132052441510200 = 233521516432266769
BaseRepresentation
bin11110000001100111011010…
…110111100011000100111000
3122022120002102200210212201110
4132001213122313203010320
5114302021400011311300
61144504015410320320
736546321413534031
oct3601473267430470
9568502380725643
10132052441510200
11390921426a5892
12129887935890a0
13588b651649c63
14248752d725a88
15103eec1441550
hex7819dade3138

132052441510200 has 192 divisors, whose sum is σ = 412714622073600. Its totient is φ = 34926361344000.

The previous prime is 132052441510103. The next prime is 132052441510261. The reversal of 132052441510200 is 2015144250231.

132052441510200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57122416 + ... + 59389184.

It is an arithmetic number, because the mean of its divisors is an integer number (2149555323300).

Almost surely, 2132052441510200 is an apocalyptic number.

132052441510200 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 132052441510200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206357311036800).

132052441510200 is an abundant number, since it is smaller than the sum of its proper divisors (280662180563400).

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

132052441510200 is a wasteful number, since it uses less digits than its factorization.

132052441510200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267582 (or 2267573 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 132052441510200 its reverse (2015144250231), we get a palindrome (134067585760431).

The spelling of 132052441510200 in words is "one hundred thirty-two trillion, fifty-two billion, four hundred forty-one million, five hundred ten thousand, two hundred".