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132244100 = 22529191439
BaseRepresentation
bin1111110000111…
…10001010000100
3100012211200210122
413320132022010
5232323302400
621042241112
73164025212
oct770361204
9305750718
10132244100
1168714a4a
1238356198
1321523061
14137c5cb2
15b923685
hex7e1e284

132244100 has 36 divisors (see below), whose sum is σ = 287481600. Its totient is φ = 52803360.

The previous prime is 132244081. The next prime is 132244117. The reversal of 132244100 is 1442231.

132244100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91181 + ... + 92619.

It is an arithmetic number, because the mean of its divisors is an integer number (7985600).

Almost surely, 2132244100 is an apocalyptic number.

132244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132244100 is an abundant number, since it is smaller than the sum of its proper divisors (155237500).

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

132244100 is a wasteful number, since it uses less digits than its factorization.

132244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 132244100 is about 11499.7434753998. The cubic root of 132244100 is about 509.4779997967.

Adding to 132244100 its reverse (1442231), we get a palindrome (133686331).

The spelling of 132244100 in words is "one hundred thirty-two million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 919 1439 1838 2878 3676 4595 5756 7195 9190 14390 18380 22975 28780 35975 45950 71950 91900 143900 1322441 2644882 5289764 6612205 13224410 26448820 33061025 66122050 132244100