Search a number
-
+
12131323344 = 243471337227
BaseRepresentation
bin10110100110001010…
…10100110111010000
31011022110020002010000
423103011110313100
5144321104321334
65323440210000
7606424355430
oct132305246720
934273202100
1012131323344
1151658a7868
122426909900
1311b442474a
148312442c0
154b0061299
hex2d3154dd0

12131323344 has 100 divisors (see below), whose sum is σ = 40127537824. Its totient is φ = 3466089792.

The previous prime is 12131323327. The next prime is 12131323349. The reversal of 12131323344 is 44332313121.

It is a happy number.

12131323344 is a `hidden beast` number, since 1 + 2 + 1 + 313 + 2 + 3 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131323349) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 659542 + ... + 677685.

Almost surely, 212131323344 is an apocalyptic number.

12131323344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12131323344 is an abundant number, since it is smaller than the sum of its proper divisors (27996214480).

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

12131323344 is a wasteful number, since it uses less digits than its factorization.

12131323344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337254 (or 1337239 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 12131323344 its reverse (44332313121), we get a palindrome (56463636465).

The spelling of 12131323344 in words is "twelve billion, one hundred thirty-one million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 1337227 2674454 4011681 5348908 8023362 9360589 10697816 12035043 16046724 18721178 21395632 24070086 28081767 32093448 36105129 37442356 48140172 56163534 64186896 72210258 74884712 84245301 96280344 108315387 112327068 144420516 149769424 168490602 192560688 216630774 224654136 252735903 288841032 336981204 433261548 449308272 505471806 577682064 673962408 758207709 866523096 1010943612 1347924816 1516415418 1733046192 2021887224 3032830836 4043774448 6065661672 12131323344