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12332122100 = 2252521236701
BaseRepresentation
bin10110111110000110…
…10011111111110100
31011211110001201012222
423133003103333310
5200224010401400
65355412101512
7614413210514
oct133703237764
934743051188
1012332122100
115259185951
122482004898
131216bcb48c
1484db93844
154c29c7185
hex2df0d3ff4

12332122100 has 36 divisors (see below), whose sum is σ = 26812182348. Its totient is φ = 4923360000.

The previous prime is 12332122079. The next prime is 12332122151. The reversal of 12332122100 is 122123321.

It can be written as a sum of positive squares in 6 ways, for example, as 1558512484 + 10773609616 = 39478^2 + 103796^2 .

It is a congruent number.

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, 66251 + ... + 170450.

It is an arithmetic number, because the mean of its divisors is an integer number (744782843).

Almost surely, 212332122100 is an apocalyptic number.

12332122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332122100 is an abundant number, since it is smaller than the sum of its proper divisors (14480060248).

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

12332122100 is a wasteful number, since it uses less digits than its factorization.

12332122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237236 (or 237229 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12332122100 its reverse (122123321), we get a palindrome (12454245421).

The spelling of 12332122100 in words is "twelve billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 521 1042 2084 2605 5210 10420 13025 26050 52100 236701 473402 946804 1183505 2367010 4734020 5917525 11835050 23670100 123321221 246642442 493284884 616606105 1233212210 2466424420 3083030525 6166061050 12332122100