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12032120313 = 321578515301
BaseRepresentation
bin10110011010010101…
…11001010111111001
31011001112120001010200
423031022321113321
5144120210322223
65305534032413
7604111222653
oct131512712771
934045501120
1012032120313
115114900094
1223b9648709
1311999cc925
14821dbd6d3
154a64b7a43
hex2cd2b95f9

12032120313 has 12 divisors (see below), whose sum is σ = 17490430308. Its totient is φ = 7970320800.

The previous prime is 12032120297. The next prime is 12032120339. The reversal of 12032120313 is 31302123021.

12032120313 is a `hidden beast` number, since 12 + 0 + 321 + 20 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1331666064 + 10700454249 = 36492^2 + 103443^2 .

It is not a de Polignac number, because 12032120313 - 24 = 12032120297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12032120383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4256238 + ... + 4259063.

It is an arithmetic number, because the mean of its divisors is an integer number (1457535859).

Almost surely, 212032120313 is an apocalyptic number.

It is an amenable number.

12032120313 is a deficient number, since it is larger than the sum of its proper divisors (5458309995).

12032120313 is a wasteful number, since it uses less digits than its factorization.

12032120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515464 (or 8515461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12032120313 its reverse (31302123021), we get a palindrome (43334243334).

The spelling of 12032120313 in words is "twelve billion, thirty-two million, one hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 157 471 1413 8515301 25545903 76637709 1336902257 4010706771 12032120313