Search a number
-
+
12311133012 = 22322911792273
BaseRepresentation
bin10110111011100110…
…01111101101010100
31011202222120100121100
423131303033231110
5200203122224022
65353342150100
7614036622033
oct133563175524
934688510540
1012311133012
11524834a4a2
122476b82330
13121275cab9
1484b08c71a
154c0c2d1ac
hex2ddccfb54

12311133012 has 36 divisors (see below), whose sum is σ = 32192908020. Its totient is φ = 3962203392.

The previous prime is 12311132971. The next prime is 12311133059. The reversal of 12311133012 is 21033111321.

12311133012 is a `hidden beast` number, since 12 + 311 + 1 + 330 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5903770896 + 6407362116 = 76836^2 + 80046^2 .

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

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

It is a congruent number.

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, 5895093 + ... + 5897180.

It is an arithmetic number, because the mean of its divisors is an integer number (894247445).

Almost surely, 212311133012 is an apocalyptic number.

12311133012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12311133012 is an abundant number, since it is smaller than the sum of its proper divisors (19881775008).

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

12311133012 is a wasteful number, since it uses less digits than its factorization.

12311133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11792312 (or 11792307 counting only the distinct ones).

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

Adding to 12311133012 its reverse (21033111321), we get a palindrome (33344244333).

The spelling of 12311133012 in words is "twelve billion, three hundred eleven million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 11792273 23584546 35376819 47169092 70753638 106130457 141507276 212260914 341975917 424521828 683951834 1025927751 1367903668 2051855502 3077783253 4103711004 6155566506 12311133012