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210132242231012 = 221710130595841909
BaseRepresentation
bin101111110001110100111001…
…101001110110111011100100
31000120000110001020221200201122
4233301310321221312323210
5210020301313002343022
62022525230332313112
762155360565255123
oct5761647151667344
91016013036850648
10210132242231012
1160a5564666a882
121b699052912798
1390335019b872a
1439c6651d2daba
15194604db05742
hexbf1d39a76ee4

210132242231012 has 24 divisors (see below), whose sum is σ = 393217760227320. Its totient is φ = 97906694105600.

The previous prime is 210132242230993. The next prime is 210132242231039.

210132242231012 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 50827859561956 + 159304382669056 = 7129366^2 + 12621584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15297914087 + ... + 15297927822.

It is an arithmetic number, because the mean of its divisors is an integer number (16384073342805).

Almost surely, 2210132242231012 is an apocalyptic number.

It is an amenable number.

210132242231012 is a deficient number, since it is larger than the sum of its proper divisors (183085517996308).

210132242231012 is a wasteful number, since it uses less digits than its factorization.

210132242231012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30595842031 (or 30595842029 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 210132242231012 in words is "two hundred ten trillion, one hundred thirty-two billion, two hundred forty-two million, two hundred thirty-one thousand, twelve".

Divisors: 1 2 4 17 34 68 101 202 404 1717 3434 6868 30595841909 61191683818 122383367636 520129312453 1040258624906 2080517249812 3090180032809 6180360065618 12360720131236 52533060557753 105066121115506 210132242231012