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112310489844 = 22337677219437
BaseRepresentation
bin110100010011000111…
…0100001001011110100
3101201220010000000121000
41220212032201023310
53320002441133334
6123332243323300
711054105261310
oct1504616411364
9351803000530
10112310489844
11436a3386353
1219924680530
13a78b0a5867
145615dc2b40
152dc4d8c299
hex1a263a12f4

112310489844 has 96 divisors (see below), whose sum is σ = 333264879360. Its totient is φ = 32041166976.

The previous prime is 112310489827. The next prime is 112310489861. The reversal of 112310489844 is 448984013211.

112310489844 is a `hidden beast` number, since 1 + 123 + 1 + 0 + 489 + 8 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (112310489827) and next prime (112310489861).

It is a super-3 number, since 3×1123104898443 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 112310489844.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402094 + ... + 621530.

It is an arithmetic number, because the mean of its divisors is an integer number (3471509160).

Almost surely, 2112310489844 is an apocalyptic number.

112310489844 is a gapful number since it is divisible by the number (14) 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 112310489844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166632439680).

112310489844 is an abundant number, since it is smaller than the sum of its proper divisors (220954389516).

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

112310489844 is a wasteful number, since it uses less digits than its factorization.

112310489844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220134 (or 220126 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 112310489844 in words is "one hundred twelve billion, three hundred ten million, four hundred eighty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 677 756 1354 2031 2708 4062 4739 6093 8124 9478 12186 14217 18279 18956 24372 28434 36558 42651 56868 73116 85302 127953 170604 219437 255906 438874 511812 658311 877748 1316622 1536059 1974933 2633244 3072118 3949866 4608177 5924799 6144236 7899732 9216354 11849598 13824531 18432708 23699196 27649062 41473593 55298124 82947186 148558849 165894372 297117698 445676547 594235396 891353094 1039911943 1337029641 1782706188 2079823886 2674059282 3119735829 4011088923 4159647772 5348118564 6239471658 8022177846 9359207487 12478943316 16044355692 18718414974 28077622461 37436829948 56155244922 112310489844