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12120313113 = 324132846377
BaseRepresentation
bin10110100100110110…
…10100110100011001
31011021200111200220200
423102123110310121
5144310300004423
65322404212413
7606231650556
oct132233246431
934250450820
1012120313113
11515a6676a7
12242309a109
1311b206b10c
1482d9b9a2d
154ae0d8d43
hex2d26d4d19

12120313113 has 12 divisors (see below), whose sum is σ = 17934122388. Its totient is φ = 7883130240.

The previous prime is 12120313033. The next prime is 12120313181. The reversal of 12120313113 is 31131302121.

12120313113 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 2 ways, for example, as 2993950089 + 9126363024 = 54717^2 + 95532^2 .

It is not a de Polignac number, because 12120313113 - 29 = 12120312601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12120313193) 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 11 ways as a sum of consecutive naturals, for example, 16422820 + ... + 16423557.

It is an arithmetic number, because the mean of its divisors is an integer number (1494510199).

Almost surely, 212120313113 is an apocalyptic number.

It is an amenable number.

12120313113 is a deficient number, since it is larger than the sum of its proper divisors (5813809275).

12120313113 is a wasteful number, since it uses less digits than its factorization.

12120313113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32846424 (or 32846421 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12120313113 its reverse (31131302121), we get a palindrome (43251615234).

It can be divided in two parts, 12120313 and 113, that added together give a triangular number (12120426 = T4923).

The spelling of 12120313113 in words is "twelve billion, one hundred twenty million, three hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 41 123 369 32846377 98539131 295617393 1346701457 4040104371 12120313113