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221022221200001 = 131031132010772649
BaseRepresentation
bin110010010000010010111110…
…111110110110101010000001
31001222120111222121121220112122
4302100102332332312222001
5212432212002111400001
62102024112351334025
764361220453226214
oct6220227676665201
91058514877556478
10221022221200001
1164473aa7914781
1220957706821315
1396433c945b0b0
143c817655a977b
151a84466410b1b
hexc904befb6a81

221022221200001 has 32 divisors (see below), whose sum is σ = 242477095660800. Its totient is φ = 200239052396544.

The previous prime is 221022221199991. The next prime is 221022221200049. The reversal of 221022221200001 is 100002122220122.

It is a happy number.

221022221200001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221022221200001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221022221209001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3042293525 + ... + 3042366173.

It is an arithmetic number, because the mean of its divisors is an integer number (7577409239400).

Almost surely, 2221022221200001 is an apocalyptic number.

It is an amenable number.

221022221200001 is a deficient number, since it is larger than the sum of its proper divisors (21454874460799).

221022221200001 is a wasteful number, since it uses less digits than its factorization.

221022221200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92985.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221022221200001 its reverse (100002122220122), we get a palindrome (321024343420123).

The spelling of 221022221200001 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred twenty-one million, two hundred thousand, one".

Divisors: 1 13 103 113 1339 1469 11639 20107 72649 151307 261391 944437 2071021 2272091 7482847 8209337 26923273 29537183 97277011 106721381 234025373 845561711 1460753443 3042329849 10992302243 18989794759 150457604629 165065139059 1955948860177 2145846807767 17001709323077 221022221200001