Search a number
-
+
22120101122120 = 2352441226547533
BaseRepresentation
bin1010000011110001111001…
…10001010001000001001000
32220022122211212202111120222
411001320330301101001020
510344403431341401440
6115013500103005212
74442060504150021
oct501707461210110
986278755674528
1022120101122120
11705909a460541
122593035139808
13c45bbb979931
14566893657c48
152855dbb412b5
hex141e3cc51048

22120101122120 has 32 divisors (see below), whose sum is σ = 49790617022520. Its totient is φ = 8844415649280.

The previous prime is 22120101122087. The next prime is 22120101122123. The reversal of 22120101122120 is 2122110102122.

It can be written as a sum of positive squares in 4 ways, for example, as 5885019920836 + 16235081201284 = 2425906^2 + 4029278^2 .

It is not an unprimeable number, because it can be changed into a prime (22120101122123) 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 7 ways as a sum of consecutive naturals, for example, 113176127 + ... + 113371406.

Almost surely, 222120101122120 is an apocalyptic number.

22120101122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120101122120 is an abundant number, since it is smaller than the sum of its proper divisors (27670515900400).

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

22120101122120 is a wasteful number, since it uses less digits than its factorization.

22120101122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226549985 (or 226549981 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22120101122120 its reverse (2122110102122), we get a palindrome (24242211224242).

The spelling of 22120101122120 in words is "twenty-two trillion, one hundred twenty billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2441 4882 9764 12205 19528 24410 48820 97640 226547533 453095066 906190132 1132737665 1812380264 2265475330 4530950660 9061901320 553002528053 1106005056106 2212010112212 2765012640265 4424020224424 5530025280530 11060050561060 22120101122120