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12434444113 = 7131719433977
BaseRepresentation
bin10111001010010011…
…01000111101010001
31012002120121012122011
423211021220331101
5200431204202423
65413505142521
7620065013440
oct134511507521
935076535564
1012434444113
115300a129a3
1224b032aa41
131232175b50
1485d5cad57
154cb989b0d
hex2e5268f51

12434444113 has 64 divisors (see below), whose sum is σ = 17113904640. Its totient is φ = 8742961152.

The previous prime is 12434444081. The next prime is 12434444137. The reversal of 12434444113 is 31144443421.

12434444113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12434444113 - 25 = 12434444081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12434442113) 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 63 ways as a sum of consecutive naturals, for example, 12726681 + ... + 12727657.

It is an arithmetic number, because the mean of its divisors is an integer number (267404760).

Almost surely, 212434444113 is an apocalyptic number.

12434444113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12434444113 is a deficient number, since it is larger than the sum of its proper divisors (4679460527).

12434444113 is a wasteful number, since it uses less digits than its factorization.

12434444113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466.

The product of its digits is 18432, while the sum is 31.

Adding to 12434444113 its reverse (31144443421), we get a palindrome (43578887534).

The spelling of 12434444113 in words is "twelve billion, four hundred thirty-four million, four hundred forty-four thousand, one hundred thirteen".

Divisors: 1 7 13 17 19 91 119 133 221 247 323 433 977 1547 1729 2261 3031 4199 5629 6839 7361 8227 12701 16609 18563 29393 39403 51527 57589 88907 95693 106951 116263 129941 139859 215917 241319 315571 423041 669851 748657 979013 1511419 1689233 1818167 2208997 2961287 4102423 5499533 7191697 8037779 12727169 28716961 38496731 50341879 56264453 93492061 104491127 136642243 654444427 731437889 956495701 1776349159 12434444113