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220001122201121 = 13957126591042451
BaseRepresentation
bin110010000001011100000000…
…101111010010111000100001
31001211221220100110201021202122
4302001130000233102320201
5212313444244240413441
62055523041552154025
764224361620030002
oct6201340057227041
91054856313637678
10220001122201121
116410aa52079728
1220811836838915
13959b02abc7841
143c4817ad1d1a9
151a67b026e434b
hexc81700bd2e21

220001122201121 has 16 divisors (see below), whose sum is σ = 222055619385600. Its totient is φ = 217953652986000.

The previous prime is 220001122201099. The next prime is 220001122201127. The reversal of 220001122201121 is 121102221100022.

It is a cyclic number.

It is not a de Polignac number, because 220001122201121 - 226 = 220001055092257 is a prime.

It is a super-3 number, since 3×2200011222011213 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220001122201121.

It is not an unprimeable number, because it can be changed into a prime (220001122201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210520946 + ... + 211563396.

It is an arithmetic number, because the mean of its divisors is an integer number (13878476211600).

Almost surely, 2220001122201121 is an apocalyptic number.

It is an amenable number.

220001122201121 is a deficient number, since it is larger than the sum of its proper divisors (2054497184479).

220001122201121 is a wasteful number, since it uses less digits than its factorization.

220001122201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045820.

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

Adding to 220001122201121 its reverse (121102221100022), we get a palindrome (341103343301143).

The spelling of 220001122201121 in words is "two hundred twenty trillion, one billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 139 571 2659 79369 369601 1042451 1518289 144900689 211042171 595239521 2771877209 82738293419 385290932051 1582741886339 220001122201121