Search a number
-
+
12113310312 = 2332198854759
BaseRepresentation
bin10110100100000001…
…00111001001101000
31011021012022220212200
423102000213021220
5144302001412222
65321554140200
7606115303335
oct132200471150
934235286780
1012113310312
115156714364
122420881660
1311b078884c
1482cab598c
154ad6a3eac
hex2d2027268

12113310312 has 48 divisors (see below), whose sum is σ = 34533564000. Its totient is φ = 3825255456.

The previous prime is 12113310299. The next prime is 12113310323. The reversal of 12113310312 is 21301331121.

12113310312 is a `hidden beast` number, since 1 + 21 + 1 + 331 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4426012 + ... + 4428747.

It is an arithmetic number, because the mean of its divisors is an integer number (719449250).

Almost surely, 212113310312 is an apocalyptic number.

12113310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12113310312 is an abundant number, since it is smaller than the sum of its proper divisors (22420253688).

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

12113310312 is a wasteful number, since it uses less digits than its factorization.

12113310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854790 (or 8854783 counting only the distinct ones).

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

Adding to 12113310312 its reverse (21301331121), we get a palindrome (33414641433).

The spelling of 12113310312 in words is "twelve billion, one hundred thirteen million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 8854759 17709518 26564277 35419036 53128554 70838072 79692831 106257108 159385662 168240421 212514216 318771324 336480842 504721263 637542648 672961684 1009442526 1345923368 1514163789 2018885052 3028327578 4037770104 6056655156 12113310312