Search a number
-
+
211122021220221 = 3297134178730973
BaseRepresentation
bin110000000000001110101101…
…000101000011111101111101
31000200112001211122201222021110
4300000032231011003331331
5210133010344413021341
62025004041223152233
762320030332665646
oct6000165505037575
91020461748658243
10211122021220221
11612a738a048011
121b818a418a5679
1390a594b564297
143a1c508b226cd
151961b7cda4216
hexc003ad143f7d

211122021220221 has 16 divisors (see below), whose sum is σ = 295304235615360. Its totient is φ = 133980625410240.

The previous prime is 211122021220211. The next prime is 211122021220261. The reversal of 211122021220221 is 122022120221112.

It is not a de Polignac number, because 211122021220221 - 26 = 211122021220157 is a prime.

It is a super-2 number, since 2×2111220212202212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122021220211) 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, 17089359310 + ... + 17089371663.

It is an arithmetic number, because the mean of its divisors is an integer number (18456514725960).

Almost surely, 2211122021220221 is an apocalyptic number.

It is an amenable number.

211122021220221 is a deficient number, since it is larger than the sum of its proper divisors (84182214395139).

211122021220221 is a wasteful number, since it uses less digits than its factorization.

211122021220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34178731076.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211122021220221 its reverse (122022120221112), we get a palindrome (333144141441333).

The spelling of 211122021220221 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty-one million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 29 71 87 213 2059 6177 34178730973 102536192919 991183198217 2426689899083 2973549594651 7280069697249 70374007073407 211122021220221