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111111201119 = 17151313138289
BaseRepresentation
bin110011101111010111…
…1100110000101011111
3101121210112022211202002
41213132233212011133
53310023431413434
6123013242352515
711012303424602
oct1473657460537
9347715284662
10111111201119
1143138415a46
121964aabb73b
13a6297a0069
1455409da339
152d5494257e
hex19debe615f

111111201119 has 16 divisors (see below), whose sum is σ = 118805492160. Its totient is φ = 103550054400.

The previous prime is 111111201049. The next prime is 111111201163. The reversal of 111111201119 is 911102111111.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111111201119 is a prime.

It is a super-3 number, since 3×1111112011193 (a number of 34 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 111111201119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111206119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734327 + ... + 872615.

It is an arithmetic number, because the mean of its divisors is an integer number (7425343260).

Almost surely, 2111111201119 is an apocalyptic number.

111111201119 is a deficient number, since it is larger than the sum of its proper divisors (7694291041).

111111201119 is a wasteful number, since it uses less digits than its factorization.

111111201119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138770.

The product of its (nonzero) digits is 18, while the sum is 20.

The spelling of 111111201119 in words is "one hundred eleven billion, one hundred eleven million, two hundred one thousand, one hundred nineteen".

Divisors: 1 17 151 313 2567 5321 47263 138289 803471 2350913 20881639 43284457 354987863 735835769 6535953007 111111201119