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20102201022228 = 223134113992246557
BaseRepresentation
bin1001001001000011010001…
…00011010001011100010100
32122011202021221201100210020
410210201220203101130110
510113323301430202403
6110430453524425140
74143223165254543
oct444415043213424
978152257640706
1020102201022228
116450328460776
122307b365481b0
13b2a824ac21a0
144d6d4774415a
1524cd87440453
hex1248688d1714

20102201022228 has 96 divisors (see below), whose sum is σ = 51782263276800. Its totient is φ = 6030115752960.

The previous prime is 20102201022227. The next prime is 20102201022257. The reversal of 20102201022228 is 82222010220102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20102201022198 and 20102201022207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102201022227) by changing a digit.

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, 7824726 + ... + 10071282.

It is an arithmetic number, because the mean of its divisors is an integer number (539398575800).

Almost surely, 220102201022228 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 20102201022228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25891131638400).

20102201022228 is an abundant number, since it is smaller than the sum of its proper divisors (31680062254572).

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

20102201022228 is a wasteful number, since it uses less digits than its factorization.

20102201022228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248017 (or 2248015 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 20102201022228 in words is "twenty trillion, one hundred two billion, two hundred one million, twenty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1399 1599 2132 2798 3198 4197 5596 6396 8394 16788 18187 36374 54561 57359 72748 109122 114718 172077 218244 229436 344154 688308 745667 1491334 2237001 2246557 2982668 4474002 4493114 6739671 8948004 8986228 13479342 26958684 29205241 58410482 87615723 92108837 116820964 175231446 184217674 276326511 350462892 368435348 552653022 1105306044 1197414881 2394829762 3142933243 3592244643 4789659524 6285866486 7184489286 9428799729 12571732972 14368978572 18857599458 37715198916 40858132159 81716264318 122574396477 128860262963 163432528636 245148792954 257720525926 386580788889 490297585908 515441051852 773161577778 1546323155556 1675183418519 3350366837038 5025550255557 6700733674076 10051100511114 20102201022228