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111100889124 = 22327327612
BaseRepresentation
bin110011101111000100…
…0010000100000100100
3101121202210220221100100
41213132020100200210
53310013311422444
6123012233344100
711012116655511
oct1473610204044
9347683827310
10111100889124
1143132612435
1219647568030
13a6275cc4a4
14553d4b4308
152d53aa6e69
hex19de210824

111100889124 has 81 divisors (see below), whose sum is σ = 285112814259. Its totient is φ = 36478321920.

The previous prime is 111100889113. The next prime is 111100889149. The reversal of 111100889124 is 421988001111.

The square root of 111100889124 is 333318.

It is a perfect power (a square), and thus also a powerful number.

111100889124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42440120100 + 68660769024 = 206010^2 + 262032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 145992904 + ... + 145993664.

Almost surely, 2111100889124 is an apocalyptic number.

111100889124 is the 333318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100889124

111100889124 is an abundant number, since it is smaller than the sum of its proper divisors (174011925135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111100889124 is an frugal number, since it uses more digits than its factorization.

111100889124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

Multiplying 111100889124 by its sum of digits (36), we get a square (3999632008464 = 19999082).

111100889124 divided by its sum of digits (36) gives a square (3086135809 = 555532).

The spelling of 111100889124 in words is "one hundred eleven billion, one hundred million, eight hundred eighty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 761 876 1314 1522 2283 2628 3044 4566 5329 6849 9132 10658 13698 15987 21316 27396 31974 47961 55553 63948 95922 111106 166659 191844 222212 333318 499977 579121 666636 999954 1158242 1737363 1999908 2316484 3474726 4055369 5212089 6949452 8110738 10424178 12166107 16221476 20848356 24332214 36498321 42275833 48664428 72996642 84551666 126827499 145993284 169103332 253654998 380482497 507309996 760964994 1521929988 3086135809 6172271618 9258407427 12344543236 18516814854 27775222281 37033629708 55550444562 111100889124