Search a number
-
+
221220112222122 = 231311150572543507
BaseRepresentation
bin110010010011001011010010…
…001101001100011110101010
31002000021102202222111102021020
4302103023102031030132222
5212443432242212101442
62102255041102553310
764411424415164526
oct6223132215143652
91060242688442236
10221220112222122
116453aa17175652
1220989b33b98836
139658c75867b60
143c8b179544d86
151a896996479ec
hexc932d234c7aa

221220112222122 has 32 divisors (see below), whose sum is σ = 476474702501952. Its totient is φ = 68067639032064.

The previous prime is 221220112222093. The next prime is 221220112222127. The reversal of 221220112222122 is 221222211022122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221220112222092 and 221220112222101.

It is not an unprimeable number, because it can be changed into a prime (221220112222127) 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, 85702693 + ... + 88246199.

It is an arithmetic number, because the mean of its divisors is an integer number (14889834453186).

Almost surely, 2221220112222122 is an apocalyptic number.

221220112222122 is an abundant number, since it is smaller than the sum of its proper divisors (255254590279830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221220112222122 is a wasteful number, since it uses less digits than its factorization.

221220112222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658582.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 221220112222122 its reverse (221222211022122), we get a palindrome (442442323244244).

The spelling of 221220112222122 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 1115057 2230114 2543507 3345171 5087014 6690342 7630521 14495741 15261042 28991482 33065591 43487223 66131182 86974446 99196773 198393546 2836155284899 5672310569798 8508465854697 17016931709394 36870018703687 73740037407374 110610056111061 221220112222122