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12017431307 = 72983713243
BaseRepresentation
bin10110011000100101…
…10111001100001011
31011000111220202121102
423030102313030023
5144102430300212
65304251132015
7603542323610
oct131422671413
934014822542
1012017431307
115107588012
1223b474400b
1311969589cb
14820078507
154a50655c2
hex2cc4b730b

12017431307 has 16 divisors (see below), whose sum is σ = 14378999040. Its totient is φ = 9825621792.

The previous prime is 12017431297. The next prime is 12017431313. The reversal of 12017431307 is 70313471021.

It is a happy number.

12017431307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12017431307 - 210 = 12017430283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 12017431307.

It is not an unprimeable number, because it can be changed into a prime (12017431337) 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 15 ways as a sum of consecutive naturals, for example, 339773 + ... + 373470.

It is an arithmetic number, because the mean of its divisors is an integer number (898687440).

Almost surely, 212017431307 is an apocalyptic number.

12017431307 is a deficient number, since it is larger than the sum of its proper divisors (2361567733).

12017431307 is an equidigital number, since it uses as much as digits as its factorization.

12017431307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713362.

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 12017431307 in words is "twelve billion, seventeen million, four hundred thirty-one thousand, three hundred seven".

Divisors: 1 7 29 83 203 581 2407 16849 713243 4992701 20684047 59199169 144788329 414394183 1716775901 12017431307