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111223000112 = 24714933719777
BaseRepresentation
bin110011110010101101…
…0000100110000110000
3101122002022200211010112
41213211122010300300
53310241042000422
6123032314520452
711015131621310
oct1474532046060
9348068624115
10111223000112
1143195536204
1219680436128
13a6469b5203
1455517bd440
152d5e677ee2
hex19e5684c30

111223000112 has 80 divisors (see below), whose sum is σ = 248680660800. Its totient is φ = 47204204544.

The previous prime is 111223000079. The next prime is 111223000181. The reversal of 111223000112 is 211000322111.

111223000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5613968 + ... + 5633744.

It is an arithmetic number, because the mean of its divisors is an integer number (3108508260).

Almost surely, 2111223000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111223000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124340330400).

111223000112 is an abundant number, since it is smaller than the sum of its proper divisors (137457660688).

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

111223000112 is a wasteful number, since it uses less digits than its factorization.

111223000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20278 (or 20272 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 111223000112 its reverse (211000322111), we get a palindrome (322223322223).

The spelling of 111223000112 in words is "one hundred eleven billion, two hundred twenty-three million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 337 596 674 1043 1192 1348 2086 2359 2384 2696 4172 4718 5392 8344 9436 16688 18872 19777 37744 39554 50213 79108 100426 138439 158216 200852 276878 316432 351491 401704 553756 702982 803408 1107512 1405964 2215024 2811928 2946773 5623856 5893546 6664849 11787092 13329698 20627411 23574184 26659396 41254822 46653943 47148368 53318792 82509644 93307886 106637584 165019288 186615772 330038576 373231544 746463088 993062501 1986125002 3972250004 6951437507 7944500008 13902875014 15889000016 27805750028 55611500056 111223000112