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1331343112221 = 32593249455333
BaseRepresentation
bin10011010111111010001…
…110111011100000011101
311201021102120221112012100
4103113322032323200131
5133303042314042341
62455335515155313
7165120631510323
oct23277216734035
94637376845170
101331343112221
1147368a52a321
12196034145b39
13987118107a5
144861a137d13
15249709083b6
hex135fa3bb81d

1331343112221 has 12 divisors (see below), whose sum is σ = 1926294089148. Its totient is φ = 886065339264.

The previous prime is 1331343112213. The next prime is 1331343112241. The reversal of 1331343112221 is 1222113431331.

1331343112221 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 431 + 1 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1008277056900 + 323066055321 = 1004130^2 + 568389^2 .

It is not a de Polignac number, because 1331343112221 - 23 = 1331343112213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331343112201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124722330 + ... + 124733003.

It is an arithmetic number, because the mean of its divisors is an integer number (160524507429).

Almost surely, 21331343112221 is an apocalyptic number.

It is an amenable number.

1331343112221 is a deficient number, since it is larger than the sum of its proper divisors (594950976927).

1331343112221 is a wasteful number, since it uses less digits than its factorization.

1331343112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249455932 (or 249455929 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1331343112221 its reverse (1222113431331), we get a palindrome (2553456543552).

The spelling of 1331343112221 in words is "one trillion, three hundred thirty-one billion, three hundred forty-three million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 593 1779 5337 249455333 748365999 2245097997 147927012469 443781037407 1331343112221