Search a number
-
+
22120110020 = 2251106005501
BaseRepresentation
bin10100100110011101…
…100001011111000100
32010002120220000110002
4110212131201133010
5330300222010040
614054542420432
71412104555451
oct244635413704
963076800402
1022120110020
119421253068
124353b91718
1321169b6cc8
1410dbac8828
15896e56a15
hex5267617c4

22120110020 has 12 divisors (see below), whose sum is σ = 46452231084. Its totient is φ = 8848044000.

The previous prime is 22120109993. The next prime is 22120110029. The reversal of 22120110020 is 2001102122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12148889284 + 9971220736 = 110222^2 + 99856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22120109983 and 22120110010.

It is not an unprimeable number, because it can be changed into a prime (22120110029) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 553002731 + ... + 553002770.

It is an arithmetic number, because the mean of its divisors is an integer number (3871019257).

Almost surely, 222120110020 is an apocalyptic number.

22120110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120110020 is an abundant number, since it is smaller than the sum of its proper divisors (24332121064).

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

22120110020 is a wasteful number, since it uses less digits than its factorization.

22120110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106005510 (or 1106005508 counting only the distinct ones).

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

Adding to 22120110020 its reverse (2001102122), we get a palindrome (24121212142).

The spelling of 22120110020 in words is "twenty-two billion, one hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 1106005501 2212011002 4424022004 5530027505 11060055010 22120110020