Search a number
-
+
12131410212 = 2232937359641
BaseRepresentation
bin10110100110001011…
…01010000100100100
31011022110101111021100
423103011222010210
5144321120111322
65323442120100
7606425166615
oct132305520444
934273344240
1012131410212
115165957059
122426950030
1311b445514c
14831267c0c
154b007bdac
hex2d316a124

12131410212 has 36 divisors (see below), whose sum is σ = 30698321836. Its totient is φ = 4039476480.

The previous prime is 12131410189. The next prime is 12131410223. The reversal of 12131410212 is 21201413121.

12131410212 is a `hidden beast` number, since 12 + 1 + 31 + 410 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1262096676 + 10869313536 = 35526^2 + 104256^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×121314102122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146089 + ... + 213552.

Almost surely, 212131410212 is an apocalyptic number.

12131410212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12131410212 is an abundant number, since it is smaller than the sum of its proper divisors (18566911624).

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

12131410212 is a wasteful number, since it uses less digits than its factorization.

12131410212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360588 (or 360583 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12131410212 its reverse (21201413121), we get a palindrome (33332823333).

The spelling of 12131410212 in words is "twelve billion, one hundred thirty-one million, four hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 937 1874 2811 3748 5622 8433 11244 16866 33732 359641 719282 1078923 1438564 2157846 3236769 4315692 6473538 12947076 336983617 673967234 1010950851 1347934468 2021901702 3032852553 4043803404 6065705106 12131410212