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221120221200201 = 32221291110258641
BaseRepresentation
bin110010010001101110010000…
…001111001011111101001001
31001222220212221101220201211200
4302101232100033023331021
5212440313203111401301
62102141121031414413
764401260133413421
oct6221562017137511
91058825841821750
10221120221200201
1164501617303384
12209726b6824409
13964c7167c35ab
143c863c0b71481
151a86c9ec87c86
hexc91b903cbf49

221120221200201 has 12 divisors (see below), whose sum is σ = 319410308716980. Its totient is φ = 147406819115520.

The previous prime is 221120221200149. The next prime is 221120221200233. The reversal of 221120221200201 is 102002122021122.

It is a happy number.

221120221200201 is a `hidden beast` number, since 2 + 21 + 1 + 20 + 221 + 200 + 201 = 666.

221120221200201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 181863430205625 + 39256790994576 = 13485675^2 + 6265524^2 .

It is not a de Polignac number, because 221120221200201 - 214 = 221120221183817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221120221200001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 554930160 + ... + 555328481.

It is an arithmetic number, because the mean of its divisors is an integer number (26617525726415).

Almost surely, 2221120221200201 is an apocalyptic number.

It is an amenable number.

221120221200201 is a deficient number, since it is larger than the sum of its proper divisors (98290087516779).

221120221200201 is a wasteful number, since it uses less digits than its factorization.

221120221200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110280776 (or 1110280773 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221120221200201 its reverse (102002122021122), we get a palindrome (323122343221323).

The spelling of 221120221200201 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred thousand, two hundred one".

Divisors: 1 3 9 22129 66387 199161 1110258641 3330775923 9992327769 24568913466689 73706740400067 221120221200201