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12205316343 = 311261954319
BaseRepresentation
bin10110101110111111…
…00101100011110111
31011111121110022102110
423113133211203313
5144444030110333
65335042142103
7611313322443
oct132737454367
934447408373
1012205316343
1151a3645900
122447651933
1311c686089c
1483adc5823
154b67ca063
hex2d77e58f7

12205316343 has 24 divisors (see below), whose sum is σ = 17916908800. Its totient is φ = 7385075280.

The previous prime is 12205316323. The next prime is 12205316369. The reversal of 12205316343 is 34361350221.

It is not a de Polignac number, because 12205316343 - 232 = 7910349047 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12205316343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205316323) 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 23 ways as a sum of consecutive naturals, for example, 197538 + ... + 251856.

Almost surely, 212205316343 is an apocalyptic number.

12205316343 is a deficient number, since it is larger than the sum of its proper divisors (5711592457).

12205316343 is a wasteful number, since it uses less digits than its factorization.

12205316343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54963 (or 54952 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 12205316343 its reverse (34361350221), we get a palindrome (46566666564).

The spelling of 12205316343 in words is "twelve billion, two hundred five million, three hundred sixteen thousand, three hundred forty-three".

Divisors: 1 3 11 33 121 363 619 1857 6809 20427 54319 74899 162957 224697 597509 1792527 6572599 19717797 33623461 100870383 369858071 1109574213 4068438781 12205316343