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22103001113000 = 2353672521130859
BaseRepresentation
bin1010000011010010000011…
…00001111010000110101000
32220021000201011002000221212
411001221001201322012220
510344113421241104000
6115001551210252252
74440613654365023
oct501510141720650
986230634060855
1022103001113000
1170519149a45a5
12258b862427088
13c443c503b842
14565b105841ba
15284e3a7b1c35
hex141a4187a1a8

22103001113000 has 128 divisors (see below), whose sum is σ = 52514201750400. Its totient is φ = 8705721024000.

The previous prime is 22103001112987. The next prime is 22103001113077. The reversal of 22103001113000 is 31110030122.

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, 168841571 + ... + 168972429.

It is an arithmetic number, because the mean of its divisors is an integer number (410267201175).

Almost surely, 222103001113000 is an apocalyptic number.

22103001113000 is a gapful number since it is divisible by the number (20) 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 22103001113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26257100875200).

22103001113000 is an abundant number, since it is smaller than the sum of its proper divisors (30411200637400).

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

22103001113000 is a wasteful number, since it uses less digits than its factorization.

22103001113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133468 (or 133454 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 22103001113000 its reverse (31110030122), we get a palindrome (22134111143122).

The spelling of 22103001113000 in words is "twenty-two trillion, one hundred three billion, one million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 2521 2680 3350 5042 6700 8375 10084 12605 13400 16750 20168 25210 33500 50420 63025 67000 100840 126050 130859 168907 252100 261718 315125 337814 504200 523436 630250 654295 675628 844535 1046872 1260500 1308590 1351256 1689070 2521000 2617180 3271475 3378140 4222675 5234360 6542950 6756280 8445350 8767553 13085900 16357375 16890700 17535106 21113375 26171800 32714750 33781400 35070212 42226750 43837765 65429500 70140424 84453500 87675530 130859000 168907000 175351060 219188825 329895539 350702120 438377650 659791078 876755300 1095944125 1319582156 1649477695 1753510600 2191888250 2639164312 3298955390 4383776500 6597910780 8247388475 8767553000 13195821560 16494776950 22103001113 32989553900 41236942375 44206002226 65979107800 82473884750 88412004452 110515005565 164947769500 176824008904 221030011130 329895539000 442060022260 552575027825 884120044520 1105150055650 2210300111300 2762875139125 4420600222600 5525750278250 11051500556500 22103001113000