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112300010112 = 2731923516547
BaseRepresentation
bin110100010010110011…
…0100010101010000000
3101201212101021121002210
41220211212202222000
53314442300310422
6123331230542120
711053620223203
oct1504546425200
9351771247083
10112300010112
1143698478814
1219921067940
13a788b76834
14561485593a
152dc3ebc10c
hex1a259a2a80

112300010112 has 128 divisors (see below), whose sum is σ = 314178278400. Its totient is φ = 35442662400.

The previous prime is 112300010083. The next prime is 112300010113. The reversal of 112300010112 is 211010003211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1123000101122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (112300010113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17149623 + ... + 17156169.

It is an arithmetic number, because the mean of its divisors is an integer number (2454517800).

Almost surely, 2112300010112 is an apocalyptic number.

112300010112 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 112300010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157089139200).

112300010112 is an abundant number, since it is smaller than the sum of its proper divisors (201878268288).

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

112300010112 is a wasteful number, since it uses less digits than its factorization.

112300010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112300010112 its reverse (211010003211), we get a palindrome (323310013323).

The spelling of 112300010112 in words is "one hundred twelve billion, three hundred million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2351 2432 3648 4702 6547 7053 7296 9404 13094 14106 18808 19641 26188 28212 37616 39282 44669 52376 56424 75232 78564 89338 104752 112848 124393 134007 150464 157128 178676 209504 225696 248786 268014 300928 314256 357352 373179 419008 451392 497572 536028 628512 714704 746358 838016 902784 995144 1072056 1257024 1429408 1492716 1990288 2144112 2514048 2858816 2985432 3980576 4288224 5717632 5970864 7961152 8576448 11941728 15391997 15922304 17152896 23883456 30783994 46175991 47766912 61567988 92351982 123135976 184703964 246271952 292447943 369407928 492543904 584895886 738815856 877343829 985087808 1169791772 1477631712 1754687658 1970175616 2339583544 2955263424 3509375316 4679167088 5910526848 7018750632 9358334176 14037501264 18716668352 28075002528 37433336704 56150005056 112300010112