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202222010100020 = 22521134785187177
BaseRepresentation
bin101101111110101101111011…
…000100111110100100110100
3222112000020100120122112010112
4231332231323010332210310
5203001201134041200040
61554031301533242152
760411025632452441
oct5576557304764464
9875006316575115
10202222010100020
115948596686a239
121a81bb92033358
1388ab5b8abc631
1437d18518049c8
15185a3d2967365
hexb7eb7b13e934

202222010100020 has 24 divisors (see below), whose sum is σ = 424867199160264. Its totient is φ = 80850522525696.

The previous prime is 202222010099981. The next prime is 202222010100043. The reversal of 202222010100020 is 20001010222202.

202222010100020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2525035409296 + 199696974690724 = 1589036^2 + 14131418^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202222010099968 and 202222010100004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2392551329 + ... + 2392635848.

It is an arithmetic number, because the mean of its divisors is an integer number (17702799965011).

Almost surely, 2202222010100020 is an apocalyptic number.

202222010100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202222010100020 is an abundant number, since it is smaller than the sum of its proper divisors (222645189060244).

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

202222010100020 is a wasteful number, since it uses less digits than its factorization.

202222010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785189299 (or 4785189297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202222010100020 its reverse (20001010222202), we get a palindrome (222223020322222).

The spelling of 202222010100020 in words is "two hundred two trillion, two hundred twenty-two billion, ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 2113 4226 8452 10565 21130 42260 4785187177 9570374354 19140748708 23925935885 47851871770 95703743540 10111100505001 20222201010002 40444402020004 50555502525005 101111005050010 202222010100020