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11132605323 = 327225244003
BaseRepresentation
bin10100101111000111…
…00001001110001011
31001201211221221112200
422113203201032023
5140244421332243
65040402211243
7542606404200
oct122743411613
931654857480
1011132605323
1147a307a174
1221a8353b23
131085545c38
1477874bca7
15452534ad3
hex2978e138b

11132605323 has 18 divisors (see below), whose sum is σ = 18705806964. Its totient is φ = 6361488504.

The previous prime is 11132605307. The next prime is 11132605333. The reversal of 11132605323 is 32350623111.

11132605323 is a `hidden beast` number, since 1 + 1 + 1 + 32 + 605 + 3 + 23 = 666.

11132605323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11132605323 - 24 = 11132605307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11132605333) 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 17 ways as a sum of consecutive naturals, for example, 12621561 + ... + 12622442.

It is an arithmetic number, because the mean of its divisors is an integer number (1039211498).

Almost surely, 211132605323 is an apocalyptic number.

11132605323 is a deficient number, since it is larger than the sum of its proper divisors (7573201641).

11132605323 is a wasteful number, since it uses less digits than its factorization.

11132605323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25244023 (or 25244013 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 11132605323 in words is "eleven billion, one hundred thirty-two million, six hundred five thousand, three hundred twenty-three".

Divisors: 1 3 7 9 21 49 63 147 441 25244003 75732009 176708021 227196027 530124063 1236956147 1590372189 3710868441 11132605323