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232132013310200 = 235241477116974999
BaseRepresentation
bin110100110001111101110010…
…001100011100000011111000
31010102220121022010111200000212
4310301331302030130003320
5220411222330401411300
62141411550313050252
766615661455105353
oct6461756214340370
91112817263450025
10232132013310200
1167a676a7932043
12220508a56b6988
139c6ac54c91813
14414736c48b29a
151bc84467ea935
hexd31f7231c0f8

232132013310200 has 384 divisors, whose sum is σ = 573038323200000. Its totient is φ = 87342968832000.

The previous prime is 232132013310199. The next prime is 232132013310209. The reversal of 232132013310200 is 2013310231232.

232132013310200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2321320133102002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232132013310209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46435687301 + ... + 46435692299.

It is an arithmetic number, because the mean of its divisors is an integer number (1492287300000).

Almost surely, 2232132013310200 is an apocalyptic number.

232132013310200 is a gapful number since it is divisible by the number (20) 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 232132013310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286519161600000).

232132013310200 is an abundant number, since it is smaller than the sum of its proper divisors (340906309889800).

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

232132013310200 is a wasteful number, since it uses less digits than its factorization.

232132013310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6871 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 232132013310200 its reverse (2013310231232), we get a palindrome (234145323541432).

The spelling of 232132013310200 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, thirteen million, three hundred ten thousand, two hundred".