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11330332245 = 345174116069
BaseRepresentation
bin10101000110101011…
…10010011001010101
31002020122000111220000
422203111302121111
5141201031112440
65112144201513
7550530143421
oct124325623125
932218014800
1011330332245
11489474a351
122242609299
1310b74b570b
14796adbb81
15464a90730
hex2a3572655

11330332245 has 40 divisors (see below), whose sum is σ = 20323600440. Its totient is φ = 6038997120.

The previous prime is 11330332229. The next prime is 11330332249. The reversal of 11330332245 is 54223303311.

11330332245 is a `hidden beast` number, since 1 + 1 + 330 + 3 + 322 + 4 + 5 = 666.

11330332245 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 4 ways, for example, as 368870436 + 10961461809 = 19206^2 + 104697^2 .

It is not a de Polignac number, because 11330332245 - 24 = 11330332229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330332249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 697071 + ... + 713139.

It is an arithmetic number, because the mean of its divisors is an integer number (508090011).

Almost surely, 211330332245 is an apocalyptic number.

11330332245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11330332245 is a deficient number, since it is larger than the sum of its proper divisors (8993268195).

11330332245 is a wasteful number, since it uses less digits than its factorization.

11330332245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17827 (or 17818 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 11330332245 its reverse (54223303311), we get a palindrome (65553635556).

The spelling of 11330332245 in words is "eleven billion, three hundred thirty million, three hundred thirty-two thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1741 5223 8705 15669 16069 26115 47007 48207 78345 80345 141021 144621 235035 241035 433863 705105 723105 1301589 2169315 6507945 27976129 83928387 139880645 251785161 419641935 755355483 1258925805 2266066449 3776777415 11330332245