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22011011010020 = 2253729744609473
BaseRepresentation
bin1010000000100110101100…
…11111100000110111100100
32212221020021012110121202202
411000103112133200313210
510341112022304310040
6114451415135154032
74431146241406664
oct500232637406744
985836235417682
1022011011010020
1170168a99866aa
122575a6b075918
13c38824b28c46
145614a52461a4
1528285487a015
hex1404d67e0de4

22011011010020 has 24 divisors (see below), whose sum is σ = 47472396720504. Its totient is φ = 8566447527936.

The previous prime is 22011011010017. The next prime is 22011011010067. The reversal of 22011011010020 is 2001011011022.

It can be written as a sum of positive squares in 4 ways, for example, as 9024544711744 + 12986466298276 = 3004088^2 + 3603674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22011011009983 and 22011011010010.

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, 14872303997 + ... + 14872305476.

It is an arithmetic number, because the mean of its divisors is an integer number (1978016530021).

Almost surely, 222011011010020 is an apocalyptic number.

22011011010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011011010020 is an abundant number, since it is smaller than the sum of its proper divisors (25461385710484).

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

22011011010020 is a wasteful number, since it uses less digits than its factorization.

22011011010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29744609519 (or 29744609517 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22011011010020 its reverse (2001011011022), we get a palindrome (24012022021042).

The spelling of 22011011010020 in words is "twenty-two trillion, eleven billion, eleven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 29744609473 59489218946 118978437892 148723047365 297446094730 594892189460 1100550550501 2201101101002 4402202202004 5502752752505 11005505505010 22011011010020