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12104131314 = 23117310324391
BaseRepresentation
bin10110100010111011…
…00110001011110010
31011020120001120122210
423101131212023302
5144242124200224
65321025312550
7605644263402
oct132135461362
934216046583
1012104131314
115151515010
122419795756
1311ab8c38a2
1482b7a6802
154ac98e429
hex2d17662f2

12104131314 has 64 divisors (see below), whose sum is σ = 27031799808. Its totient is φ = 3582403200.

The previous prime is 12104131313. The next prime is 12104131337. The reversal of 12104131314 is 41313140121.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12104131313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484059 + ... + 508449.

It is an arithmetic number, because the mean of its divisors is an integer number (422371872).

Almost surely, 212104131314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12104131314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515899904).

12104131314 is an abundant number, since it is smaller than the sum of its proper divisors (14927668494).

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

12104131314 is a wasteful number, since it uses less digits than its factorization.

12104131314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24583.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12104131314 its reverse (41313140121), we get a palindrome (53417271435).

The spelling of 12104131314 in words is "twelve billion, one hundred four million, one hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 73 103 146 206 219 309 438 618 803 1133 1606 2266 2409 3399 4818 6798 7519 15038 22557 24391 45114 48782 73173 82709 146346 165418 248127 268301 496254 536602 804903 1609806 1780543 2512273 3561086 5024546 5341629 7536819 10683258 15073638 19585973 27635003 39171946 55270006 58757919 82905009 117515838 165810018 183395929 366791858 550187787 1100375574 2017355219 4034710438 6052065657 12104131314