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211220220211 = 72111330144173
BaseRepresentation
bin1100010010110110110…
…1001100100100110011
3202012012022002221001221
43010231231030210303
511430034334021321
6241011102205511
721155143151200
oct3045555144463
9665168087057
10211220220211
118163a342770
1234b29283897
1316bc1a60530
14a31a318ca7
155763513e41
hex312db4c933

211220220211 has 24 divisors (see below), whose sum is σ = 288660610224. Its totient is φ = 151926626880.

The previous prime is 211220220203. The next prime is 211220220227. The reversal of 211220220211 is 112022022112.

It is a happy number.

211220220211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211220220211 - 23 = 211220220203 is a prime.

It is a super-2 number, since 2×2112202202112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211220220241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15065080 + ... + 15079093.

It is an arithmetic number, because the mean of its divisors is an integer number (12027525426).

Almost surely, 2211220220211 is an apocalyptic number.

211220220211 is a deficient number, since it is larger than the sum of its proper divisors (77440390013).

211220220211 is a wasteful number, since it uses less digits than its factorization.

211220220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30144211 (or 30144204 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211220220211 its reverse (112022022112), we get a palindrome (323242242323).

The spelling of 211220220211 in words is "two hundred eleven billion, two hundred twenty million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 30144173 211009211 331585903 391874249 1477064477 2321101321 2743119743 4310616739 16247709247 19201838201 30174317173 211220220211