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232331342032100 = 225217136665495313
BaseRepresentation
bin110100110100110111011011…
…000111001010110011100100
31010110121122210200122220002102
4310310313123013022303210
5220423004042030011400
62142043313423231232
766636246145224353
oct6464673307126344
91113548720586072
10232331342032100
1168034194791053
1222083454448518
139c839a01b98cc
144152c7b34d99a
151bcd710d729d5
hexd34ddb1cace4

232331342032100 has 36 divisors (see below), whose sum is σ = 533815424696484. Its totient is φ = 87465916999680.

The previous prime is 232331342032087. The next prime is 232331342032133. The reversal of 232331342032100 is 1230243133232.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 69109048996 + 232262232983104 = 262886^2 + 15240152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68332745957 + ... + 68332749356.

It is an arithmetic number, because the mean of its divisors is an integer number (14828206241569).

Almost surely, 2232331342032100 is an apocalyptic number.

232331342032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232331342032100 is an abundant number, since it is smaller than the sum of its proper divisors (301484082664384).

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

232331342032100 is a wasteful number, since it uses less digits than its factorization.

232331342032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136665495344 (or 136665495337 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 232331342032100 its reverse (1230243133232), we get a palindrome (233561585165332).

The spelling of 232331342032100 in words is "two hundred thirty-two trillion, three hundred thirty-one billion, three hundred forty-two million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 136665495313 273330990626 546661981252 683327476565 1366654953130 2323313420321 2733309906260 3416637382825 4646626840642 6833274765650 9293253681284 11616567101605 13666549531300 23233134203210 46466268406420 58082835508025 116165671016050 232331342032100