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12375057321 = 3211211363689
BaseRepresentation
bin10111000011001110…
…00110001110101001
31011221102212001021100
423201213012032221
5200321003313241
65403544232013
7615444152214
oct134147061651
934842761240
1012375057321
115280440800
12249446b609
131222a82033
1485576c77b
154c66589b6
hex2e19c63a9

12375057321 has 18 divisors (see below), whose sum is σ = 19647820010. Its totient is φ = 7500034080.

The previous prime is 12375057293. The next prime is 12375057329.

It is a happy number.

12375057321 is a `hidden beast` number, since 1 + 2 + 37 + 50 + 573 + 2 + 1 = 666.

12375057321 is nontrivially palindromic in base 10.

12375057321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6713999721 + 5661057600 = 81939^2 + 75240^2 .

It is not a de Polignac number, because 12375057321 - 27 = 12375057193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12375057329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5680756 + ... + 5682933.

Almost surely, 212375057321 is an apocalyptic number.

12375057321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12375057321 is a deficient number, since it is larger than the sum of its proper divisors (7272762689).

12375057321 is a wasteful number, since it uses less digits than its factorization.

12375057321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363717 (or 11363703 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 12375057321 in words is "twelve billion, three hundred seventy-five million, fifty-seven thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 11363689 34091067 102273201 125000579 375001737 1125005211 1375006369 4125019107 12375057321