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12345515343 = 337409315959
BaseRepresentation
bin10110111111101100…
…11001110101001111
31011212101021011022000
423133312121311033
5200240422442333
65401011123343
7614635102050
oct133766316517
934771234260
1012345515343
1152657a3447
1224865a3553
13121990a685
1485187c727
154c3c70713
hex2dfd99d4f

12345515343 has 32 divisors (see below), whose sum is σ = 20908876800. Its totient is φ = 7052414688.

The previous prime is 12345515291. The next prime is 12345515467. The reversal of 12345515343 is 34351554321.

12345515343 is a `hidden beast` number, since 12 + 3 + 4 + 551 + 53 + 43 = 666.

It is not a de Polignac number, because 12345515343 - 26 = 12345515279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12345515298 and 12345515307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345515543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765598 + ... + 781556.

It is an arithmetic number, because the mean of its divisors is an integer number (653402400).

Almost surely, 212345515343 is an apocalyptic number.

12345515343 is a deficient number, since it is larger than the sum of its proper divisors (8563361457).

12345515343 is a wasteful number, since it uses less digits than its factorization.

12345515343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20068 (or 20062 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The spelling of 12345515343 in words is "twelve billion, three hundred forty-five million, five hundred fifteen thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 27 63 189 4093 12279 15959 28651 36837 47877 85953 110511 111713 143631 257859 335139 430893 773577 1005417 3016251 65320187 195960561 457241309 587881683 1371723927 1763645049 4115171781 12345515343