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12105151313 = 194115539347
BaseRepresentation
bin10110100011000010…
…11111001101010001
31011020121222101211112
423101201133031101
5144242404320223
65321103223105
7605656042223
oct132141371521
934217871745
1012105151313
115152051392
122419ba7a95
1311abb8cc38
1482b990413
154acae1778
hex2d185f351

12105151313 has 8 divisors (see below), whose sum is σ = 13053052320. Its totient is φ = 11188329120.

The previous prime is 12105151301. The next prime is 12105151327. The reversal of 12105151313 is 31315150121.

12105151313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12105151313 - 24 = 12105151297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12105141313) 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 7 ways as a sum of consecutive naturals, for example, 7768895 + ... + 7770452.

It is an arithmetic number, because the mean of its divisors is an integer number (1631631540).

Almost surely, 212105151313 is an apocalyptic number.

It is an amenable number.

12105151313 is a deficient number, since it is larger than the sum of its proper divisors (947901007).

12105151313 is a wasteful number, since it uses less digits than its factorization.

12105151313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15539407.

The product of its (nonzero) digits is 450, while the sum is 23.

The spelling of 12105151313 in words is "twelve billion, one hundred five million, one hundred fifty-one thousand, three hundred thirteen".

Divisors: 1 19 41 779 15539347 295247593 637113227 12105151313