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221022102011121 = 32412881912078399
BaseRepresentation
bin110010010000010010110111…
…111000001011110011110001
31001222120111200022100111010200
4302100102313320023303301
5212432211231103323441
62102024052452545413
764361214505153605
oct6220226770136361
91058514608314120
10221022102011121
1164473a46607374
1220957692922269
1396433aa859428
143c81753821505
151a8445ac1a7b6
hexc904b7e0bcf1

221022102011121 has 24 divisors (see below), whose sum is σ = 327042126028800. Its totient is φ = 143753644708800.

The previous prime is 221022102011119. The next prime is 221022102011131. The reversal of 221022102011121 is 121110201220122.

221022102011121 is a `hidden beast` number, since 2 + 210 + 221 + 0 + 201 + 11 + 21 = 666.

221022102011121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221022102011121 - 21 = 221022102011119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221022102011094 and 221022102011103.

It is not an unprimeable number, because it can be changed into a prime (221022102011101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105303280 + ... + 107381678.

It is an arithmetic number, because the mean of its divisors is an integer number (13626755251200).

Almost surely, 2221022102011121 is an apocalyptic number.

It is an amenable number.

221022102011121 is a deficient number, since it is larger than the sum of its proper divisors (106020024017679).

221022102011121 is a wasteful number, since it uses less digits than its factorization.

221022102011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366637 (or 2366634 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221022102011121 its reverse (121110201220122), we get a palindrome (342132303231243).

The spelling of 221022102011121 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 41 123 369 288191 864573 2078399 2593719 6235197 11815831 18705591 35447493 85214359 106342479 255643077 766929231 598975886209 1796927658627 5390782975881 24558011334569 73674034003707 221022102011121