Search a number
-
+
111112041200 = 24521138772803
BaseRepresentation
bin110011101111011001…
…0110011001011110000
3101121210120220112010012
41213132302303023300
53310024140304300
6123013312354052
711012313524036
oct1473662631360
9347716815105
10111112041200
114313893a126
121964b245928
13a629a05554
145540b78556
152d54a5b435
hex19decb32f0

111112041200 has 120 divisors (see below), whose sum is σ = 269712307248. Its totient is φ = 43985571840.

The previous prime is 111112041197. The next prime is 111112041221. The reversal of 111112041200 is 2140211111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39638999 + ... + 39641801.

Almost surely, 2111112041200 is an apocalyptic number.

111112041200 is a gapful number since it is divisible by the number (10) 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 111112041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134856153624).

111112041200 is an abundant number, since it is smaller than the sum of its proper divisors (158600266048).

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

111112041200 is a wasteful number, since it uses less digits than its factorization.

111112041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111112041200 its reverse (2140211111), we get a palindrome (113252252311).

The spelling of 111112041200 in words is "one hundred eleven billion, one hundred twelve million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 200 226 400 452 565 877 904 1130 1754 1808 2260 2803 2825 3508 4385 4520 5606 5650 7016 8770 9040 11212 11300 14015 14032 17540 21925 22424 22600 28030 35080 43850 44848 45200 56060 70075 70160 87700 99101 112120 140150 175400 198202 224240 280300 316739 350800 396404 495505 560600 633478 792808 991010 1121200 1266956 1583695 1585616 1982020 2458231 2477525 2533912 3167390 3964040 4916462 4955050 5067824 6334780 7918475 7928080 9832924 9910100 12291155 12669560 15836950 19665848 19820200 24582310 25339120 31673900 39331696 39640400 49164620 61455775 63347800 98329240 122911550 126695600 196658480 245823100 277780103 491646200 555560206 983292400 1111120412 1388900515 2222240824 2777801030 4444481648 5555602060 6944502575 11111204120 13889005150 22222408240 27778010300 55556020600 111112041200