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112224431140 = 22531832419049
BaseRepresentation
bin110100010000100011…
…0001110110000100100
3101201200010001210020121
41220201012032300210
53314313423244030
6123315531011324
711052011632303
oct1504106166044
9351603053217
10112224431140
1143659847158
12198bb899b44
13a776303853
1456087c043a
152dbc53d47a
hex1a2118ec24

112224431140 has 96 divisors (see below), whose sum is σ = 247253529600. Its totient is φ = 42735513600.

The previous prime is 112224431119. The next prime is 112224431147. The reversal of 112224431140 is 41134422211.

It is not an unprimeable number, because it can be changed into a prime (112224431147) 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, 12397336 + ... + 12406384.

It is an arithmetic number, because the mean of its divisors is an integer number (2575557600).

Almost surely, 2112224431140 is an apocalyptic number.

112224431140 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 112224431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123626764800).

112224431140 is an abundant number, since it is smaller than the sum of its proper divisors (135029098460).

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

112224431140 is a wasteful number, since it uses less digits than its factorization.

112224431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 112224431140 its reverse (41134422211), we get a palindrome (153358853351).

The spelling of 112224431140 in words is "one hundred twelve billion, two hundred twenty-four million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 83 124 155 166 241 310 332 415 482 620 830 964 1205 1660 2410 2573 4820 5146 7471 9049 10292 12865 14942 18098 20003 25730 29884 36196 37355 40006 45245 51460 74710 80012 90490 100015 149420 180980 200030 280519 400060 561038 620093 751067 1122076 1240186 1402595 1502134 2180809 2480372 2805190 3004268 3100465 3755335 4361618 5610380 6200930 7510670 8723236 10904045 12401860 15021340 21808090 23283077 43616180 46566154 67605079 93132308 116415385 135210158 181007147 232830770 270420316 338025395 362014294 465661540 676050790 724028588 905035735 1352101580 1810071470 3620142940 5611221557 11222443114 22444886228 28056107785 56112215570 112224431140