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12102011119 = 111731511483
BaseRepresentation
bin10110100010101011…
…00000100011101111
31011020102001212022001
423101111200203233
5144241103323434
65320512033131
7605620253152
oct132125404357
934212055261
1012102011119
1151502a7090
122418b327a7
1311ab330833
1482b3b3c99
154ac6c1114
hex2d15608ef

12102011119 has 32 divisors (see below), whose sum is σ = 14129579520. Its totient is φ = 10279152000.

The previous prime is 12102011101. The next prime is 12102011137. The reversal of 12102011119 is 91111020121.

12102011119 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12102011101) and next prime (12102011137).

It is not a de Polignac number, because 12102011119 - 25 = 12102011087 is a prime.

It is a super-3 number, since 3×121020111193 (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 junction number, because it is equal to n+sod(n) for n = 12102011096 and 12102011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102015119) 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 31 ways as a sum of consecutive naturals, for example, 8159752 + ... + 8161234.

It is an arithmetic number, because the mean of its divisors is an integer number (441549360).

Almost surely, 212102011119 is an apocalyptic number.

12102011119 is a deficient number, since it is larger than the sum of its proper divisors (2027568401).

12102011119 is a wasteful number, since it uses less digits than its factorization.

12102011119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 12102011119 in words is "twelve billion, one hundred two million, eleven thousand, one hundred nineteen".

Divisors: 1 11 17 151 187 289 1483 1661 2567 3179 4913 16313 25211 28237 43639 54043 223933 277321 428587 480029 741863 2463263 3806861 4714457 7285979 8160493 41875471 64716637 80145769 711883007 1100182829 12102011119