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12330043431134 = 21113105141020019
BaseRepresentation
bin1011001101101100111111…
…0110111101100011011110
31121122201222221000120020012
42303123033312331203132
53104003412104244014
642120202130123222
72411546653622162
oct263331766754336
947581887016205
1012330043431134
113a24162089630
12147178a720512
136b59448aba80
14308ac4c32ca2
15165aece36c3e
hexb36cfdbd8de

12330043431134 has 32 divisors (see below), whose sum is σ = 21749142764160. Its totient is φ = 5168522268000.

The previous prime is 12330043431131. The next prime is 12330043431163. The reversal of 12330043431134 is 43113434003321.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 12330043431134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330043431131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20209424 + ... + 20810595.

It is an arithmetic number, because the mean of its divisors is an integer number (679660711380).

Almost surely, 212330043431134 is an apocalyptic number.

12330043431134 is a deficient number, since it is larger than the sum of its proper divisors (9419099333026).

12330043431134 is a wasteful number, since it uses less digits than its factorization.

12330043431134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41021096.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 12330043431134 its reverse (43113434003321), we get a palindrome (55443477434455).

The spelling of 12330043431134 in words is "twelve trillion, three hundred thirty billion, forty-three million, four hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 11 13 22 26 143 286 1051 2102 11561 13663 23122 27326 150293 300586 41020019 82040038 451220209 533260247 902440418 1066520494 5865862717 11731725434 43112039969 86224079938 474232439659 560456519597 948464879318 1120913039194 6165021715567 12330043431134