Search a number
-
+
111201214124 = 2271113235711783
BaseRepresentation
bin110011110010000011…
…0111101111010101100
3101122000210200222101002
41213210012331322230
53310220002322444
6123030215535432
711014445503310
oct1474406757254
9348023628332
10111201214124
1143184206060
121967508a578
13a642327bb0
14554c94bb40
152d5c7c2d4e
hex19e41bdeac

111201214124 has 96 divisors (see below), whose sum is σ = 261417010176. Its totient is φ = 39972084480.

The previous prime is 111201214123. The next prime is 111201214199. The reversal of 111201214124 is 421412102111.

It is a junction number, because it is equal to n+sod(n) for n = 111201214096 and 111201214105.

It is not an unprimeable number, because it can be changed into a prime (111201214123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9431537 + ... + 9443319.

It is an arithmetic number, because the mean of its divisors is an integer number (2723093856).

Almost surely, 2111201214124 is an apocalyptic number.

111201214124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111201214124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130708505088).

111201214124 is an abundant number, since it is smaller than the sum of its proper divisors (150215796052).

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

111201214124 is a wasteful number, since it uses less digits than its factorization.

111201214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 111201214124 its reverse (421412102111), we get a palindrome (532613316235).

The spelling of 111201214124 in words is "one hundred eleven billion, two hundred one million, two hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2357 4004 4714 9428 11783 16499 23566 25927 30641 32998 47132 51854 61282 65996 82481 103708 122564 129613 153179 164962 181489 214487 259226 306358 329924 337051 362978 428974 518452 612716 674102 725956 857948 907291 1072253 1348204 1684969 1814582 2144506 2359357 3369938 3629164 4289012 4718714 6739876 9437428 11794783 23589566 27772531 47179132 55545062 111090124 194407717 305497841 361042903 388815434 610995682 722085806 777630868 1221991364 1444171612 2138484887 2527300321 3971471933 4276969774 5054600642 7942943866 8553939548 10109201284 15885887732 27800303531 55600607062 111201214124