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12220110110211 = 31753113263152123
BaseRepresentation
bin1011000111010011011101…
…0100100111111000000011
31121021020020111002020100120
42301310313110213320003
53100203241142011321
641553501401351323
72400605502044313
oct261646724477003
947236214066316
1012220110110211
1139915796414a3
12145440a198543
136a8475159c53
14303656849443
15162d16b10ec6
hexb1d37527e03

12220110110211 has 64 divisors (see below), whose sum is σ = 17800523338752. Its totient is φ = 7427876298752.

The previous prime is 12220110110191. The next prime is 12220110110213. The reversal of 12220110110211 is 11201101102221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12220110110211 - 214 = 12220110093827 is a prime.

It is a super-2 number, since 2×122201101102112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12220110110213) 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 63 ways as a sum of consecutive naturals, for example, 80254396 + ... + 80406518.

It is an arithmetic number, because the mean of its divisors is an integer number (278133177168).

Almost surely, 212220110110211 is an apocalyptic number.

12220110110211 is a deficient number, since it is larger than the sum of its proper divisors (5580413228541).

12220110110211 is a wasteful number, since it uses less digits than its factorization.

12220110110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152572.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12220110110211 its reverse (11201101102221), we get a palindrome (23421211212432).

The spelling of 12220110110211 in words is "twelve trillion, two hundred twenty billion, one hundred ten million, one hundred ten thousand, two hundred eleven".

Divisors: 1 3 17 51 53 113 159 263 339 789 901 1921 2703 4471 5763 5989 13413 13939 17967 29719 41817 89157 101813 152123 236963 305439 456369 505223 710889 1515669 1575107 2586091 4725321 7758273 8062519 17189899 24187557 26776819 40008349 51569697 80330457 120025047 137062823 292228283 411188469 680141933 876684849 911064647 2040425799 2120442497 2733193941 4520943437 6361327491 13562830311 15488098999 36047522449 46464296997 76856038429 108142567347 230568115287 239610002161 718830006483 4073370036737 12220110110211