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12131341134 = 23111725742071
BaseRepresentation
bin10110100110001010…
…11001001101001110
31011022110020222111220
423103011121031032
5144321110404014
65323440424210
7606424461333
oct132305311516
934273228456
1012131341134
11516590a170
122426918066
1311b442c883
1483124a98a
154b00666a9
hex2d315934e

12131341134 has 64 divisors (see below), whose sum is σ = 28135060992. Its totient is φ = 3446374400.

The previous prime is 12131341097. The next prime is 12131341139. The reversal of 12131341134 is 43114313121.

It is a happy number.

12131341134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131341139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267319 + ... + 309389.

It is an arithmetic number, because the mean of its divisors is an integer number (439610328).

Almost surely, 212131341134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131341134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14067530496).

12131341134 is an abundant number, since it is smaller than the sum of its proper divisors (16003719858).

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

12131341134 is a wasteful number, since it uses less digits than its factorization.

12131341134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42361.

The product of its digits is 864, while the sum is 24.

Adding to 12131341134 its reverse (43114313121), we get a palindrome (55245654255).

The spelling of 12131341134 in words is "twelve billion, one hundred thirty-one million, three hundred forty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 257 374 514 561 771 1122 1542 2827 4369 5654 8481 8738 13107 16962 26214 42071 48059 84142 96118 126213 144177 252426 288354 462781 715207 925562 1388343 1430414 2145621 2776686 4291242 7867277 10812247 15734554 21624494 23601831 32436741 47203662 64873482 118934717 183808199 237869434 356804151 367616398 551424597 713608302 1102849194 2021890189 4043780378 6065670567 12131341134