Search a number
-
+
10222110020 = 2252020125301
BaseRepresentation
bin10011000010100100…
…10000010101000100
3222101101200222210102
421201102100111010
5131413330010040
64410155143232
7511212334013
oct114122202504
928341628712
1010222110020
114376129611
121b93444b18
13c6ba16415
146cd85ca7a
153ec633515
hex261490544

10222110020 has 24 divisors (see below), whose sum is σ = 21468342168. Its totient is φ = 4088480000.

The previous prime is 10222110011. The next prime is 10222110049. The reversal of 10222110020 is 2001122201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 495616 + 10221614404 = 704^2 + 101102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10222109983 and 10222110010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391370 + ... + 416670.

It is an arithmetic number, because the mean of its divisors is an integer number (894514257).

Almost surely, 210222110020 is an apocalyptic number.

10222110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222110020 is an abundant number, since it is smaller than the sum of its proper divisors (11246232148).

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

10222110020 is a wasteful number, since it uses less digits than its factorization.

10222110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45511 (or 45509 counting only the distinct ones).

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

Adding to 10222110020 its reverse (2001122201), we get a palindrome (12223232221).

The spelling of 10222110020 in words is "ten billion, two hundred twenty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 20201 25301 40402 50602 80804 101005 101204 126505 202010 253010 404020 506020 511105501 1022211002 2044422004 2555527505 5111055010 10222110020