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12201113331 = 3211313975599
BaseRepresentation
bin10110101110011111…
…00011011011110011
31011111022112202222100
423113033203123303
5144441441111311
65334412111443
7611232515661
oct132717433363
934438482870
1012201113331
1151a1235040
122446165583
1311c5a1b7b4
1483a60dc31
154b6249a56
hex2d73e36f3

12201113331 has 24 divisors (see below), whose sum is σ = 19846195200. Its totient is φ = 7156076400.

The previous prime is 12201113317. The next prime is 12201113339. The reversal of 12201113331 is 13331110221.

12201113331 is a `hidden beast` number, since 1 + 220 + 1 + 113 + 331 = 666.

It is not a de Polignac number, because 12201113331 - 210 = 12201112307 is a prime.

It is a super-2 number, since 2×122011133312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12201113339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1984731 + ... + 1990868.

It is an arithmetic number, because the mean of its divisors is an integer number (826924800).

Almost surely, 212201113331 is an apocalyptic number.

12201113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12201113331 is a deficient number, since it is larger than the sum of its proper divisors (7645081869).

12201113331 is a wasteful number, since it uses less digits than its factorization.

12201113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975647 (or 3975644 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12201113331 its reverse (13331110221), we get a palindrome (25532223552).

The spelling of 12201113331 in words is "twelve billion, two hundred one million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 3975599 11926797 35780391 43731589 123243569 131194767 369730707 393584301 1109192121 1355679259 4067037777 12201113331