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12181309519 = 231069495437
BaseRepresentation
bin10110101100001000…
…00000100001001111
31011102221021122020211
423112010000201033
5144421403401034
65332423423251
7610602264631
oct132604004117
934387248224
1012181309519
115191039155
12243b5b4b27
1311c18a6772
14837b36a51
154b4636d64
hex2d610084f

12181309519 has 8 divisors (see below), whose sum is σ = 12722847840. Its totient is φ = 11640764256.

The previous prime is 12181309513. The next prime is 12181309531. The reversal of 12181309519 is 91590318121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12181309519 - 211 = 12181307471 is a prime.

It is a super-3 number, since 3×121813095193 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12181309513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223132 + ... + 272305.

It is an arithmetic number, because the mean of its divisors is an integer number (1590355980).

Almost surely, 212181309519 is an apocalyptic number.

12181309519 is a deficient number, since it is larger than the sum of its proper divisors (541538321).

12181309519 is a wasteful number, since it uses less digits than its factorization.

12181309519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496529.

The product of its (nonzero) digits is 19440, while the sum is 40.

The spelling of 12181309519 in words is "twelve billion, one hundred eighty-one million, three hundred nine thousand, five hundred nineteen".

Divisors: 1 23 1069 24587 495437 11395051 529622153 12181309519