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22120103103 = 3731731992339
BaseRepresentation
bin10100100110011101…
…011111110010111111
32010002120212122221220
4110212131133302333
5330300221244403
614054542324423
71412104526340
oct244635376277
963076778856
1022120103103
11942124894a
124353b89713
1321169b3b07
1410dbac60c7
15896e54953
hex52675fcbf

22120103103 has 64 divisors (see below), whose sum is σ = 35463168000. Its totient is φ = 11998990080.

The previous prime is 22120103081. The next prime is 22120103111. The reversal of 22120103103 is 30130102122.

It is not a de Polignac number, because 22120103103 - 210 = 22120102079 is a prime.

It is a super-2 number, since 2×221201031032 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120103113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9455908 + ... + 9458246.

It is an arithmetic number, because the mean of its divisors is an integer number (554112000).

Almost surely, 222120103103 is an apocalyptic number.

22120103103 is a deficient number, since it is larger than the sum of its proper divisors (13343064897).

22120103103 is a wasteful number, since it uses less digits than its factorization.

22120103103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22120103103 its reverse (30130102122), we get a palindrome (52250205225).

The spelling of 22120103103 in words is "twenty-two billion, one hundred twenty million, one hundred three thousand, one hundred three".

Divisors: 1 3 7 21 31 73 93 199 217 219 511 597 651 1393 1533 2263 2339 4179 6169 6789 7017 14527 15841 16373 18507 43183 43581 47523 49119 72509 101689 129549 170747 217527 305067 450337 465461 507563 512241 1195229 1351011 1396383 1522689 3152359 3258227 3585687 5293157 9457077 9774681 14429291 15879471 33978653 37052099 43287873 101005037 101935959 111156297 237850571 303015111 713551713 1053338243 3160014729 7373367701 22120103103