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112013103200 = 25522911342727
BaseRepresentation
bin110100001010010000…
…0000101000001100000
3101201010101102012210212
41220110200011001200
53313400323300300
6123242541313252
711043534444665
oct1502440050140
9351111365725
10112013103200
1143560527369
1219860b65828
13a7415b142b
1455c86cda6c
152da8be7935
hex1a14805060

112013103200 has 144 divisors (see below), whose sum is σ = 285391421280. Its totient is φ = 42876395520.

The previous prime is 112013103193. The next prime is 112013103217. The reversal of 112013103200 is 2301310211.

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, 2600237 + ... + 2642963.

It is an arithmetic number, because the mean of its divisors is an integer number (1981884870).

Almost surely, 2112013103200 is an apocalyptic number.

112013103200 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 112013103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142695710640).

112013103200 is an abundant number, since it is smaller than the sum of its proper divisors (173378318080).

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

112013103200 is a wasteful number, since it uses less digits than its factorization.

112013103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42889 (or 42876 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 112013103200 its reverse (2301310211), we get a palindrome (114314413411).

The spelling of 112013103200 in words is "one hundred twelve billion, thirteen million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 113 116 145 160 200 226 232 290 400 452 464 565 580 725 800 904 928 1130 1160 1450 1808 2260 2320 2825 2900 3277 3616 4520 4640 5650 5800 6554 9040 11300 11600 13108 16385 18080 22600 23200 26216 32770 42727 45200 52432 65540 81925 85454 90400 104864 131080 163850 170908 213635 262160 327700 341816 427270 524320 655400 683632 854540 1068175 1239083 1310800 1367264 1709080 2136350 2478166 2621600 3418160 4272700 4828151 4956332 6195415 6836320 8545400 9656302 9912664 12390830 17090800 19312604 19825328 24140755 24781660 30977075 34181600 38625208 39650656 48281510 49563320 61954150 77250416 96563020 99126640 120703775 123908300 140016379 154500832 193126040 198253280 241407550 247816600 280032758 386252080 482815100 495633200 560065516 700081895 772504160 965630200 991266400 1120131032 1400163790 1931260400 2240262064 2800327580 3500409475 3862520800 4480524128 5600655160 7000818950 11201310320 14001637900 22402620640 28003275800 56006551600 112013103200