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811112211117 = 321346161724373
BaseRepresentation
bin10111100110110100000…
…11100010001010101101
32212112121210201112221100
423303122003202022231
5101242124211223432
61420341513353313
7112413055015665
oct13633203421255
92775553645840
10811112211117
11292a9977444a
12111247a08839
135b645201920
142b3880c51a5
1516173b4907c
hexbcda0e22ad

811112211117 has 48 divisors (see below), whose sum is σ = 1266568391088. Its totient is φ = 497235594240.

The previous prime is 811112211113. The next prime is 811112211131. The reversal of 811112211117 is 711112211118.

It is a happy number.

811112211117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 327167984196 + 483944226921 = 571986^2 + 695661^2 .

It is not a de Polignac number, because 811112211117 - 22 = 811112211113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811112211113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33266943 + ... + 33291315.

It is an arithmetic number, because the mean of its divisors is an integer number (26386841481).

Almost surely, 2811112211117 is an apocalyptic number.

It is an amenable number.

811112211117 is a deficient number, since it is larger than the sum of its proper divisors (455456179971).

811112211117 is a wasteful number, since it uses less digits than its factorization.

811112211117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25470 (or 25467 counting only the distinct ones).

The product of its digits is 224, while the sum is 27.

Subtracting from 811112211117 its reverse (711112211118), we obtain a palindrome (99999999999).

The spelling of 811112211117 in words is "eight hundred eleven billion, one hundred twelve million, two hundred eleven thousand, one hundred seventeen".

Divisors: 1 3 9 13 39 117 461 617 1383 1851 4149 5553 5993 8021 17979 24063 24373 53937 72189 73119 219357 284437 316849 853311 950547 2559933 2851641 3697681 11093043 11235953 15038141 33279129 33707859 45114423 101123577 135343269 146067389 195495833 438202167 586487499 1314606501 1759462497 6932583001 20797749003 62393247009 90123579013 270370737039 811112211117