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112313120112 = 24321996742451
BaseRepresentation
bin110100010011001100…
…0100011010101110000
3101201220021221122122100
41220212120203111300
53320004124320422
6123332415540400
711054136524604
oct1504630432560
9351807848570
10112313120112
11436a4912526
121992552a700
13a78b7b6b2b
1456164a9504
152dc520b7ac
hex1a26623570

112313120112 has 120 divisors (see below), whose sum is σ = 331213900160. Its totient is φ = 35429788800.

The previous prime is 112313120089. The next prime is 112313120149. The reversal of 112313120112 is 211021313211.

112313120112 is a `hidden beast` number, since 11 + 231 + 312 + 0 + 112 = 666.

It is a super-2 number, since 2×1123131201122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2624487 + ... + 2666937.

Almost surely, 2112313120112 is an apocalyptic number.

112313120112 is a gapful number since it is divisible by the number (12) 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 112313120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165606950080).

112313120112 is an abundant number, since it is smaller than the sum of its proper divisors (218900780048).

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

112313120112 is a wasteful number, since it uses less digits than its factorization.

112313120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43451 (or 43442 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112313120112 its reverse (211021313211), we get a palindrome (323334433323).

The spelling of 112313120112 in words is "one hundred twelve billion, three hundred thirteen million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 967 1368 1934 2736 2901 3868 5802 7736 8703 11604 15472 17406 18373 23208 34812 36746 42451 46416 55119 69624 73492 84902 110238 127353 139248 146984 165357 169804 220476 254706 293968 330714 339608 382059 440952 509412 661428 679216 764118 806569 881904 1018824 1322856 1528236 1613138 2037648 2419707 2645712 3056472 3226276 4839414 6112944 6452552 7259121 9678828 12905104 14518242 19357656 29036484 38715312 41050117 58072968 82100234 116145936 123150351 164200468 246300702 328400936 369451053 492601404 656801872 738902106 779952223 985202808 1477804212 1559904446 1970405616 2339856669 2955608424 3119808892 4679713338 5911216848 6239617784 7019570007 9359426676 12479235568 14039140014 18718853352 28078280028 37437706704 56156560056 112313120112