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112444114302 = 23413245921713
BaseRepresentation
bin110100010111000110…
…0010000010101111110
3101202020102102211220000
41220232030100111332
53320241143124202
6123353415335130
711060320126062
oct1505614202576
9352212384800
10112444114302
1143761853393
12199613814a6
13a7ac98cca0
145629a47aa2
152dd198491c
hex1a2e31057e

112444114302 has 80 divisors (see below), whose sum is σ = 271462348080. Its totient is φ = 34582526208.

The previous prime is 112444114297. The next prime is 112444114303. The reversal of 112444114302 is 203411444211.

112444114302 is a `hidden beast` number, since 1 + 1 + 244 + 4 + 114 + 302 = 666.

It is a super-2 number, since 2×1124441143022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112444114303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5167798 + ... + 5189510.

It is an arithmetic number, because the mean of its divisors is an integer number (3393279351).

Almost surely, 2112444114302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112444114302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135731174040).

112444114302 is an abundant number, since it is smaller than the sum of its proper divisors (159018233778).

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

112444114302 is a wasteful number, since it uses less digits than its factorization.

112444114302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24199 (or 24190 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 112444114302 its reverse (203411444211), we get a palindrome (315855558513).

The spelling of 112444114302 in words is "one hundred twelve billion, four hundred forty-four million, one hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 2459 4918 7377 14754 21713 22131 31967 43426 44262 63934 65139 66393 95901 130278 132786 191802 195417 199179 282269 287703 390834 398358 564538 575406 586251 846807 863109 1172502 1693614 1726218 1758753 2540421 2589327 3517506 5080842 5178654 7621263 15242526 22863789 45727578 53392267 106784534 160176801 320353602 480530403 694099471 961060806 1388198942 1441591209 2082298413 2883182418 4164596826 4324773627 6246895239 8649547254 12493790478 18740685717 37481371434 56222057151 112444114302