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112103419899688 = 237218114291105661
BaseRepresentation
bin11001011111010100011100…
…100001010110111100101000
3112200220222112002011212202021
4121133110130201112330220
5104143200300443242223
61034231333344114224
732420130151621300
oct3137243441267450
9480828462155667
10112103419899688
11327a0880004358
12106a6488605974
134a723cba17939
141d97b97b1c600
15ce6101cb365d
hex65f51c856f28

112103419899688 has 96 divisors (see below), whose sum is σ = 246034451262600. Its totient is φ = 47745406195200.

The previous prime is 112103419899683. The next prime is 112103419899697. The reversal of 112103419899688 is 886998914301211.

It can be written as a sum of positive squares in 4 ways, for example, as 12458344411044 + 99645075488644 = 3529638^2 + 9982238^2 .

It is not an unprimeable number, because it can be changed into a prime (112103419899683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100837578 + ... + 101943238.

Almost surely, 2112103419899688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112103419899688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123017225631300).

112103419899688 is an abundant number, since it is smaller than the sum of its proper divisors (133931031362912).

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

112103419899688 is a wasteful number, since it uses less digits than its factorization.

112103419899688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107291 (or 1107280 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 70.

The spelling of 112103419899688 in words is "one hundred twelve trillion, one hundred three billion, four hundred nineteen million, eight hundred ninety-nine thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 181 196 362 392 724 1267 1429 1448 2534 2858 5068 5716 8869 10003 10136 11432 17738 20006 35476 40012 70021 70952 80024 140042 258649 280084 517298 560168 1034596 1105661 1810543 2069192 2211322 3621086 4422644 7242172 7739627 8845288 12673801 14484344 15479254 25347602 30958508 50695204 54177389 61917016 101390408 108354778 200124641 216709556 400249282 433419112 800498564 1400872487 1579989569 1600997128 2801744974 3159979138 5603489948 6319958276 9806107409 11059926983 11206979896 12639916552 19612214818 22119853966 39224429636 44239707932 77419488881 78448859272 88479415864 154838977762 285978111989 309677955524 571956223978 619355911048 1143912447956 2001846783923 2287824895912 4003693567846 8007387135692 14012927487461 16014774271384 28025854974922 56051709949844 112103419899688