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12114104223 = 313310618057
BaseRepresentation
bin10110100100000111…
…01000111110011111
31011021020211020220210
423102003220332133
5144302202313343
65322023143503
7606125121054
oct132203507637
934236736823
1012114104223
115157106891
122420ba4b93
1311b09a6010
1482cc4102b
154ad7ae333
hex2d20e8f9f

12114104223 has 8 divisors (see below), whose sum is σ = 17394611248. Its totient is φ = 7454833344.

The previous prime is 12114104213. The next prime is 12114104263. The reversal of 12114104223 is 32240141121.

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

It is not a de Polignac number, because 12114104223 - 29 = 12114103711 is a prime.

It is a super-3 number, since 3×121141042233 (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 self number, because there is not a number n which added to its sum of digits gives 12114104223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114104213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155308990 + ... + 155309067.

It is an arithmetic number, because the mean of its divisors is an integer number (2174326406).

Almost surely, 212114104223 is an apocalyptic number.

12114104223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12114104223 is a deficient number, since it is larger than the sum of its proper divisors (5280507025).

12114104223 is a wasteful number, since it uses less digits than its factorization.

12114104223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310618073.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12114104223 its reverse (32240141121), we get a palindrome (44354245344).

The spelling of 12114104223 in words is "twelve billion, one hundred fourteen million, one hundred four thousand, two hundred twenty-three".

Divisors: 1 3 13 39 310618057 931854171 4038034741 12114104223