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220211110102122 = 23212233950561229
BaseRepresentation
bin110010000100011111100100…
…111111100100010001101010
31001212200222100212222220200100
4302010133210333210101222
5212330414323141231442
62100203330513450230
764245504410524626
oct6204374477442152
91055628325886610
10220211110102122
1164191009840767
122084647b270976
1395b4a845590b9
143c543bb6d4186
151a6d2e293684c
hexc847e4fe446a

220211110102122 has 12 divisors (see below), whose sum is σ = 477124071887970. Its totient is φ = 73403703367368.

The previous prime is 220211110102069. The next prime is 220211110102141. The reversal of 220211110102122 is 221201011112022.

220211110102122 is a `hidden beast` number, since 220 + 211 + 1 + 10 + 10 + 212 + 2 = 666.

220211110102122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 210313485791721 + 9897624310401 = 14502189^2 + 3146049^2 .

It is a super-2 number, since 2×2202111101021222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12233950561229 = 220211110102122 / (2 + 2 + 0 + 2 + 1 + 1 + 1 + 1 + 0 + 1 + 0 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 220211110102095 and 220211110102104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6116975280597 + ... + 6116975280632.

Almost surely, 2220211110102122 is an apocalyptic number.

220211110102122 is an abundant number, since it is smaller than the sum of its proper divisors (256912961785848).

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

220211110102122 is a wasteful number, since it uses less digits than its factorization.

220211110102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233950561237 (or 12233950561234 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220211110102122 its reverse (221201011112022), we get a palindrome (441412121214144).

The spelling of 220211110102122 in words is "two hundred twenty trillion, two hundred eleven billion, one hundred ten million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 12233950561229 24467901122458 36701851683687 73403703367374 110105555051061 220211110102122