Search a number
-
+
22010122220100 = 22352710481010581
BaseRepresentation
bin1010000000100101000011…
…00001000011001001000100
32212221010222021001102012120
411000102201201003021010
510341103212242020400
6114451151025245540
74431115230000510
oct500224141031104
985833867042176
1022010122220100
117016493210683
1225758614938b0
13c38712958b51
1456141d1a7140
15282801814ca0
hex1404a1843244

22010122220100 has 72 divisors (see below), whose sum is σ = 72780137481408. Its totient is φ = 5030885078400.

The previous prime is 22010122220057. The next prime is 22010122220101. The reversal of 22010122220100 is 102222101022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22010122220100.

It is not an unprimeable number, because it can be changed into a prime (22010122220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5240503191 + ... + 5240507390.

Almost surely, 222010122220100 is an apocalyptic number.

22010122220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010122220100 is an abundant number, since it is smaller than the sum of its proper divisors (50770015261308).

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

22010122220100 is a wasteful number, since it uses less digits than its factorization.

22010122220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481010605 (or 10481010598 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22010122220100 its reverse (102222101022), we get a palindrome (22112344321122).

The spelling of 22010122220100 in words is "twenty-two trillion, ten billion, one hundred twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 10481010581 20962021162 31443031743 41924042324 52405052905 62886063486 73367074067 104810105810 125772126972 146734148134 157215158715 209620211620 220101222201 262025264525 293468296268 314430317430 366835370335 440202444402 524050529050 628860634860 733670740670 786075793575 880404888804 1048101058100 1100506111005 1467341481340 1572151587150 1834176851675 2201012222010 3144303174300 3668353703350 4402024444020 5502530555025 7336707406700 11005061110050 22010122220100