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1233312133 is a prime number
BaseRepresentation
bin100100110000010…
…1101100110000101
310011221200202012011
41021200231212011
510011211442013
6322214054221
742363660124
oct11140554605
93157622164
101233312133
11583199729
122a504a371
13168688bc1
14b9b21abb
157341ac3d
hex4982d985

1233312133 has 2 divisors, whose sum is σ = 1233312134. Its totient is φ = 1233312132.

The previous prime is 1233312127. The next prime is 1233312137. The reversal of 1233312133 is 3312133321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1064260129 + 169052004 = 32623^2 + 13002^2 .

It is a cyclic number.

It is not a de Polignac number, because 1233312133 - 29 = 1233311621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1233312137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 616656066 + 616656067.

It is an arithmetic number, because the mean of its divisors is an integer number (616656067).

Almost surely, 21233312133 is an apocalyptic number.

It is an amenable number.

1233312133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233312133 is an equidigital number, since it uses as much as digits as its factorization.

1233312133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 22.

The square root of 1233312133 is about 35118.5440045569. The cubic root of 1233312133 is about 1072.4021302303.

Adding to 1233312133 its reverse (3312133321), we get a palindrome (4545445454).

The spelling of 1233312133 in words is "one billion, two hundred thirty-three million, three hundred twelve thousand, one hundred thirty-three".