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22020012100000 = 2555757329077
BaseRepresentation
bin1010000000110111011101…
…11111111100100110100000
32212222002111111121100221201
411000123232333330212200
510341233441044200000
6114455504235530544
74431615266410555
oct500335677744640
985862444540851
1022020012100000
11701a6a8851842
1225777615b9a54
13c3962a89b3a5
14561aba862a2c
15282bcebbe96a
hex1406eeffc9a0

22020012100000 has 144 divisors (see below), whose sum is σ = 54195424380216. Its totient is φ = 8806538880000.

The previous prime is 22020012099991. The next prime is 22020012100007. The reversal of 22020012100000 is 121002022.

It can be written as a sum of positive squares in 12 ways, for example, as 1009486391824 + 21010525708176 = 1004732^2 + 4583724^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 22020012100000.

It is not an unprimeable number, because it can be changed into a prime (22020012100007) 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, 757285462 + ... + 757314538.

Almost surely, 222020012100000 is an apocalyptic number.

22020012100000 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 22020012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27097712190108).

22020012100000 is an abundant number, since it is smaller than the sum of its proper divisors (32175412280216).

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

22020012100000 is an frugal number, since it uses more digits than its factorization.

22020012100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36685 (or 36657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22020012100000 its reverse (121002022), we get a palindrome (22020133102022).

The spelling of 22020012100000 in words is "twenty-two trillion, twenty billion, twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 7573 10000 12500 15146 20000 25000 29077 30292 37865 50000 58154 60584 75730 100000 116308 121168 145385 151460 189325 232616 242336 290770 302920 378650 465232 581540 605840 726925 757300 930464 946625 1163080 1211680 1453850 1514600 1893250 2326160 2907700 3029200 3634625 3786500 4652320 4733125 5815400 6058400 7269250 7573000 9466250 11630800 14538500 15146000 18173125 18932500 23261600 23665625 29077000 30292000 36346250 37865000 47331250 58154000 72692500 75730000 90865625 94662500 116308000 145385000 151460000 181731250 189325000 220200121 290770000 363462500 378650000 440400242 581540000 726925000 757300000 880800484 1101000605 1453850000 1761600968 2202001210 2907700000 3523201936 4404002420 5505003025 7046403872 8808004840 11010006050 17616009680 22020012100 27525015125 35232019360 44040024200 55050030250 88080048400 110100060500 137625075625 176160096800 220200121000 275250151250 440400242000 550500302500 688125378125 880800484000 1101000605000 1376250756250 2202001210000 2752501512500 4404002420000 5505003025000 11010006050000 22020012100000