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112031013320000 = 26544216652673
BaseRepresentation
bin11001011110010001000000…
…110000001011010101000000
3112200200001121221102112011122
4121132101000300023111000
5104141004003402220000
61034134200443531412
732411654643062315
oct3136210060132500
9480601557375148
10112031013320000
11327730a4416355
121069443b829b68
134a6862cb1c848
141d94489652d0c
15ce42b527c085
hex65e440c0b540

112031013320000 has 140 divisors (see below), whose sum is σ = 278460403488036. Its totient is φ = 44705955840000.

The previous prime is 112031013319999. The next prime is 112031013320027. The reversal of 112031013320000 is 23310130211.

It can be written as a sum of positive squares in 10 ways, for example, as 107107265341696 + 4923747978304 = 10349264^2 + 2218952^2 .

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 19 ways as a sum of consecutive naturals, for example, 13513664 + ... + 20166336.

Almost surely, 2112031013320000 is an apocalyptic number.

112031013320000 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 112031013320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139230201744018).

112031013320000 is an abundant number, since it is smaller than the sum of its proper divisors (166429390168036).

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

112031013320000 is an frugal number, since it uses more digits than its factorization.

112031013320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653126 (or 6653101 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 112031013320000 its reverse (23310130211), we get a palindrome (112054323450211).

The spelling of 112031013320000 in words is "one hundred twelve trillion, thirty-one billion, thirteen million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 421 500 625 800 842 1000 1250 1600 1684 2000 2105 2500 3368 4000 4210 5000 6736 8000 8420 10000 10525 13472 16840 20000 21050 26944 33680 40000 42100 52625 67360 84200 105250 134720 168400 210500 263125 336800 421000 526250 673600 842000 1052500 1684000 2105000 3368000 4210000 6652673 8420000 13305346 16840000 26610692 33263365 53221384 66526730 106442768 133053460 166316825 212885536 266106920 332633650 425771072 532213840 665267300 831584125 1064427680 1330534600 1663168250 2128855360 2661069200 2800775333 3326336500 4157920625 5322138400 5601550666 6652673000 8315841250 10644276800 11203101332 13305346000 14003876665 16631682500 22406202664 26610692000 28007753330 33263365000 44812405328 53221384000 56015506660 66526730000 70019383325 89624810656 112031013320 133053460000 140038766650 179249621312 224062026640 266106920000 280077533300 350096916625 448124053280 560155066600 700193833250 896248106560 1120310133200 1400387666500 1750484583125 2240620266400 2800775333000 3500969166250 4481240532800 5601550666000 7001938332500 11203101332000 14003876665000 22406202664000 28007753330000 56015506660000 112031013320000