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22100012100001 = 11191493253127983
BaseRepresentation
bin1010000011001100011110…
…10111101110100110100001
32220020201222211201102221201
411001212033113232212201
510344041311044200001
6115000334433321201
74440446621242303
oct501461727564641
986221884642851
1022100012100001
117050620758920
12258b169406201
13c44039a031b4
145659095db973
15284d1318d501
hex14198f5ee9a1

22100012100001 has 32 divisors (see below), whose sum is σ = 25405943777280. Its totient is φ = 19012560177600.

The previous prime is 22100012099929. The next prime is 22100012100031. The reversal of 22100012100001 is 10000121000122.

It is not a de Polignac number, because 22100012100001 - 215 = 22100012067233 is a prime.

It is a super-2 number, since 2×221000121000012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22100012100031) 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 31 ways as a sum of consecutive naturals, for example, 789751656 + ... + 789779638.

It is an arithmetic number, because the mean of its divisors is an integer number (793935743040).

Almost surely, 222100012100001 is an apocalyptic number.

It is an amenable number.

22100012100001 is a deficient number, since it is larger than the sum of its proper divisors (3305931677279).

22100012100001 is a wasteful number, since it uses less digits than its factorization.

22100012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32037.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22100012100001 its reverse (10000121000122), we get a palindrome (32100133100123).

The spelling of 22100012100001 in words is "twenty-two trillion, one hundred billion, twelve million, one hundred thousand, one".

Divisors: 1 11 19 209 1493 2531 16423 27841 27983 28367 48089 307813 312037 528979 531677 3778783 5848447 41566613 41778619 70824973 71796877 459564809 779074703 789765647 793793761 1345674487 8731731371 14802419357 105741684689 1163158531579 2009092009091 22100012100001