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201110220011211 = 37461187711067503
BaseRepresentation
bin101101101110100010011111…
…001110010111011011001011
3222101001221122000110012001220
4231232202133032113123023
5202324442212310324321
61551420432025213123
760234506505565230
oct5556423716273313
9871057560405056
10201110220011211
1159097402299aa5
121a6806119311a3
13882a7c64c7164
143793b02561787
15183b511dab9c6
hexb6e89f3976cb

201110220011211 has 32 divisors (see below), whose sum is σ = 307282076817408. Its totient is φ = 114609738311040.

The previous prime is 201110220011153. The next prime is 201110220011219. The reversal of 201110220011211 is 112110022011102.

It is a happy number.

It is not a de Polignac number, because 201110220011211 - 27 = 201110220011083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201110220011219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12637486 + ... + 23704988.

It is an arithmetic number, because the mean of its divisors is an integer number (9602564900544).

Almost surely, 2201110220011211 is an apocalyptic number.

201110220011211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201110220011211 is a deficient number, since it is larger than the sum of its proper divisors (106171856806197).

201110220011211 is a wasteful number, since it uses less digits than its factorization.

201110220011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11069851.

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

Adding to 201110220011211 its reverse (112110022011102), we get a palindrome (313220242022313).

The spelling of 201110220011211 in words is "two hundred one trillion, one hundred ten billion, two hundred twenty million, eleven thousand, two hundred eleven".

Divisors: 1 3 7 21 461 1383 1877 3227 5631 9681 13139 39417 865297 2595891 6057079 11067503 18171237 33202509 77472521 232417563 5102118883 15306356649 20773703131 35714832181 62321109393 107144496543 145415921917 436247765751 9576677143391 28730031430173 67036740003737 201110220011211