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221022000212201 = 1094435521829063
BaseRepresentation
bin110010010000010010110001…
…110011110110100011101001
31001222120111102012210120021022
4302100102301303312203221
5212432211024023242301
62102024034415022225
764361212130660006
oct6220226163664351
91058514365716238
10221022000212201
11644739a40a7331
122095766480a975
139643392735b96
143c817440c28ad
151a84451d0cd1b
hexc904b1cf68e9

221022000212201 has 16 divisors (see below), whose sum is σ = 223593984366720. Its totient is φ = 218460092048640.

The previous prime is 221022000212183. The next prime is 221022000212219. The reversal of 221022000212201 is 102212000220122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221022000212183) and next prime (221022000212219).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221022000212201 is a prime.

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 221022000212201.

It is not an unprimeable number, because it can be changed into a prime (221022000212401) 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 15 ways as a sum of consecutive naturals, for example, 266177996 + ... + 267007058.

It is an arithmetic number, because the mean of its divisors is an integer number (13974624022920).

Almost surely, 2221022000212201 is an apocalyptic number.

It is an amenable number.

221022000212201 is a deficient number, since it is larger than the sum of its proper divisors (2571984154519).

221022000212201 is a wasteful number, since it uses less digits than its factorization.

221022000212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835136.

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

Adding to 221022000212201 its reverse (102212000220122), we get a palindrome (323234000432323).

The spelling of 221022000212201 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred twelve thousand, two hundred one".

Divisors: 1 109 443 5521 48287 601789 829063 2445803 90367867 266592527 367274909 4577256823 40032965081 498920993707 2027724772589 221022000212201