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111101111109 = 331714910911489
BaseRepresentation
bin110011101111000100…
…1000110101101000101
3101121202211100012212000
41213132021012231011
53310013341023414
6123012242215513
711012121601632
oct1473611065505
9347684305760
10111101111109
114313275419a
1219647654599
13a627679541
14553d531189
152d53aecb09
hex19de246b45

111101111109 has 64 divisors (see below), whose sum is σ = 175724640000. Its totient is φ = 69132718080.

The previous prime is 111101111071. The next prime is 111101111123. The reversal of 111101111109 is 901111101111.

It is not a de Polignac number, because 111101111109 - 220 = 111100062533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111101111091 and 111101111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101131109) 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 63 ways as a sum of consecutive naturals, for example, 74613837 + ... + 74615325.

It is an arithmetic number, because the mean of its divisors is an integer number (2745697500).

Almost surely, 2111101111109 is an apocalyptic number.

It is an amenable number.

111101111109 is a deficient number, since it is larger than the sum of its proper divisors (64623528891).

111101111109 is a wasteful number, since it uses less digits than its factorization.

111101111109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 111101111109 in words is "one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred nine".

Divisors: 1 3 9 17 27 51 149 153 447 459 1091 1341 1489 2533 3273 4023 4467 7599 9819 13401 18547 22797 25313 29457 40203 55641 68391 75939 162559 166923 221861 227817 487677 500769 665583 683451 1463031 1624499 1996749 2763503 3771637 4389093 4873497 5990247 8290509 11314911 14620491 24871527 27616483 33944733 43861473 74614581 82849449 101834199 242050351 248548347 726151053 745645041 2178453159 4114855967 6535359477 12344567901 37033703703 111101111109