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221122122212002 = 211531579971211543
BaseRepresentation
bin110010010001110000000001…
…100010111110001010100010
31001222221001211220000010210011
4302101300001202332022202
5212440331101241241002
62102142033420555134
764401355215636034
oct6221600142761242
91058831756003704
10221122122212002
116450240238a710
1220972b473b2aaa
13964c95a5bc84b
143c8652141dc54
151a86d61ae58d7
hexc91c018be2a2

221122122212002 has 64 divisors (see below), whose sum is σ = 371383906362624. Its totient is φ = 97887165891840.

The previous prime is 221122122211973. The next prime is 221122122212099. The reversal of 221122122212002 is 200212221221122.

It is a super-2 number, since 2×2211221222120022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181907043 + ... + 183118585.

It is an arithmetic number, because the mean of its divisors is an integer number (5802873536916).

Almost surely, 2221122122212002 is an apocalyptic number.

221122122212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221122122212002 is a deficient number, since it is larger than the sum of its proper divisors (150261784150622).

221122122212002 is a wasteful number, since it uses less digits than its factorization.

221122122212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212763.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 221122122212002 its reverse (200212221221122), we get a palindrome (421334343433124).

The spelling of 221122122212002 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two".

Divisors: 1 2 11 22 53 106 157 314 583 997 1166 1727 1994 3454 8321 10967 16642 21934 52841 91531 105682 156529 183062 313058 581251 1162502 1211543 1721819 2423086 3443638 8296037 13326973 16592074 26653946 64211779 91256407 128423558 182512814 190212251 380424502 706329569 1207908371 1412659138 2092334761 2415816742 4184669522 10081249303 13286992081 20162498606 26573984162 64019143663 110893742333 128038287326 189641614247 221787484666 379283228494 704210580293 1408421160586 2086057756717 4172115513434 10051005555091 20102011110182 110561061106001 221122122212002