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221112210002201 = 7418325136981031
BaseRepresentation
bin110010010001100110110010…
…101110111001000100011001
31001222220010021002102201011122
4302101212302232321010121
5212440200301230032301
62102133314051535025
764400554455354140
oct6221466256710431
91058803232381148
10221112210002201
11644a9186187791
122097103b8ba475
13964ba3ab5c54b
143c85c60bd0757
151a869817c981b
hexc919b2bb9119

221112210002201 has 32 divisors (see below), whose sum is σ = 263025667086336. Its totient is φ = 181946667600000.

The previous prime is 221112210002147. The next prime is 221112210002207. The reversal of 221112210002201 is 102200012211122.

It is a de Polignac number, because none of the positive numbers 2k-221112210002201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221112210002201.

It is not an unprimeable number, because it can be changed into a prime (221112210002207) 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 31 ways as a sum of consecutive naturals, for example, 12511445 + ... + 24469586.

It is an arithmetic number, because the mean of its divisors is an integer number (8219552096448).

Almost surely, 2221112210002201 is an apocalyptic number.

It is an amenable number.

221112210002201 is a deficient number, since it is larger than the sum of its proper divisors (41913457084135).

221112210002201 is a wasteful number, since it uses less digits than its factorization.

221112210002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36981413.

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

Adding to 221112210002201 its reverse (102200012211122), we get a palindrome (323312222213323).

The spelling of 221112210002201 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred ten million, two thousand, two hundred one".

Divisors: 1 7 41 83 251 287 581 1757 3403 10291 20833 23821 72037 145831 854153 5979071 36981031 258867217 1516222271 3069425573 9282238781 10613555897 21485979011 64975671467 125846448493 380571790021 770425818823 880925139451 2664002530147 5392980731761 31587458571743 221112210002201