Search a number
-
+
22021120020020 = 22511241061415231
BaseRepresentation
bin1010000000111001100010…
…00010010100111000110100
32212222012100201100112111112
411000130301002110320310
510341243223211120040
6114500210214254152
74431654611521232
oct500346102247064
985865321315445
1022021120020020
117020117186520
122577a10657358
13c39776292c74
14561b83a63952
15282c470bc365
hex140731094e34

22021120020020 has 48 divisors (see below), whose sum is σ = 50448714817536. Its totient is φ = 8007627504000.

The previous prime is 22021120019999. The next prime is 22021120020023. The reversal of 22021120020020 is 2002002112022.

It is a super-2 number, since 2×220211200200202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22021120019977 and 22021120020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021120020023) 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 15 ways as a sum of consecutive naturals, for example, 52825805 + ... + 53241035.

It is an arithmetic number, because the mean of its divisors is an integer number (1051014892032).

Almost surely, 222021120020020 is an apocalyptic number.

22021120020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021120020020 is an abundant number, since it is smaller than the sum of its proper divisors (28427594797516).

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

22021120020020 is a wasteful number, since it uses less digits than its factorization.

22021120020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656312 (or 656310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22021120020020 its reverse (2002002112022), we get a palindrome (24023122132042).

The spelling of 22021120020020 in words is "twenty-two trillion, twenty-one billion, one hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241061 415231 482122 830462 964244 1205305 1660924 2076155 2410610 2651671 4152310 4567541 4821220 5303342 8304620 9135082 10606684 13258355 18270164 22837705 26516710 45675410 53033420 91350820 100096000091 200192000182 400384000364 500480000455 1000960000910 1101056001001 2001920001820 2202112002002 4404224004004 5505280005005 11010560010010 22021120020020