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22100020010020 = 2251765000058853
BaseRepresentation
bin1010000011001100011111…
…10101111001110000100100
32220020202000101121022110101
411001212033311321300210
510344041320110310040
6115000335315033444
74440450045415501
oct501461765716044
986222011538411
1022100020010020
117050625170827
12258b16bb9b884
13c4403b542694
1456590a69a4a8
15284d13c0209a
hex14198fd79c24

22100020010020 has 24 divisors (see below), whose sum is σ = 49140044493624. Its totient is φ = 8320007533056.

The previous prime is 22100020009987. The next prime is 22100020010087. The reversal of 22100020010020 is 2001002000122.

It can be written as a sum of positive squares in 4 ways, for example, as 4545193746916 + 17554826263104 = 2131946^2 + 4189848^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22100020009979 and 22100020010006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32500029087 + ... + 32500029766.

It is an arithmetic number, because the mean of its divisors is an integer number (2047501853901).

Almost surely, 222100020010020 is an apocalyptic number.

22100020010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100020010020 is an abundant number, since it is smaller than the sum of its proper divisors (27040024483604).

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

22100020010020 is a wasteful number, since it uses less digits than its factorization.

22100020010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65000058879 (or 65000058877 counting only the distinct ones).

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

Adding to 22100020010020 its reverse (2001002000122), we get a palindrome (24101022010142).

The spelling of 22100020010020 in words is "twenty-two trillion, one hundred billion, twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 65000058853 130000117706 260000235412 325000294265 650000588530 1105001000501 1300001177060 2210002001002 4420004002004 5525005002505 11050010005010 22100020010020