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10020201222220 = 2257109937700781
BaseRepresentation
bin1001000111010000001010…
…0010001101000001001100
31022110220220001101200001221
42101310002202031001030
52303132333003102340
633151114503213124
72052635633036020
oct221640242150114
938426801350057
1010020201222220
1132135a84002a2
121159b951471a4
13578b93427857
14268da2034380
151259ad6aa44a
hex91d0288d04c

10020201222220 has 96 divisors (see below), whose sum is σ = 24295046751360. Its totient is φ = 3400341534720.

The previous prime is 10020201222181. The next prime is 10020201222247. The reversal of 10020201222220 is 2222210202001.

It is a junction number, because it is equal to n+sod(n) for n = 10020201222194 and 10020201222203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13948230 + ... + 14649010.

It is an arithmetic number, because the mean of its divisors is an integer number (253073403660).

Almost surely, 210020201222220 is an apocalyptic number.

10020201222220 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 10020201222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147523375680).

10020201222220 is an abundant number, since it is smaller than the sum of its proper divisors (14274845529140).

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

10020201222220 is a wasteful number, since it uses less digits than its factorization.

10020201222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701843 (or 701841 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10020201222220 its reverse (2222210202001), we get a palindrome (12242411424221).

The spelling of 10020201222220 in words is "ten trillion, twenty billion, two hundred one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 937 1090 1526 1874 2180 3052 3748 3815 4685 6559 7630 9370 13118 15260 18740 26236 32795 65590 102133 131180 204266 408532 510665 700781 714931 1021330 1401562 1429862 2042660 2803124 2859724 3503905 3574655 4905467 7007810 7149310 9810934 14015620 14298620 19621868 24527335 49054670 76385129 98109340 152770258 305540516 381925645 534695903 656631797 763851290 1069391806 1313263594 1527702580 2138783612 2626527188 2673479515 3283158985 4596422579 5346959030 6566317970 9192845158 10693918060 13132635940 18385690316 22982112895 45964225790 71572865873 91928451580 143145731746 286291463492 357864329365 501010061111 715728658730 1002020122222 1431457317460 2004040244444 2505050305555 5010100611110 10020201222220