Search a number
-
+
22021110000020 = 2253763732925437
BaseRepresentation
bin1010000000111001100000…
…11100000110100110010100
32212222012100000111110122102
411000130300130012212110
510341243213130000040
6114500205215421232
74431654430406345
oct500346034064624
985865300443572
1022021110000020
11702011156232a
122577a09224818
13c39774195281
14561b825b60cc
15282c4628d515
hex140730706994

22021110000020 has 24 divisors (see below), whose sum is σ = 46244469676104. Its totient is φ = 8808417585536.

The previous prime is 22021110000017. The next prime is 22021110000047. The reversal of 22021110000020 is 2000001112022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8309878574596 + 13711231425424 = 2882686^2 + 3702868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22021109999956 and 22021110000010.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6064742 + ... + 8990178.

It is an arithmetic number, because the mean of its divisors is an integer number (1926852903171).

Almost surely, 222021110000020 is an apocalyptic number.

22021110000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021110000020 is an abundant number, since it is smaller than the sum of its proper divisors (24223359676084).

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

22021110000020 is a wasteful number, since it uses less digits than its factorization.

22021110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301819 (or 3301817 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22021110000020 its reverse (2000001112022), we get a palindrome (24021111112042).

The spelling of 22021110000020 in words is "twenty-two trillion, twenty-one billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 376373 752746 1505492 1881865 2925437 3763730 5850874 7527460 11701748 14627185 29254370 58508740 1101055500001 2202111000002 4404222000004 5505277500005 11010555000010 22021110000020