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12337133 is a prime number
BaseRepresentation
bin101111000011…
…111111101101
3212012210100212
4233003333231
511124242013
61120232205
7206602214
oct57037755
925183325
1012337133
116a67086
12416b665
13272c5a3
1418d207b
15113a6a8
hexbc3fed

12337133 has 2 divisors, whose sum is σ = 12337134. Its totient is φ = 12337132.

The previous prime is 12337109. The next prime is 12337183. The reversal of 12337133 is 33173321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10843849 + 1493284 = 3293^2 + 1222^2 .

It is a cyclic number.

It is not a de Polignac number, because 12337133 - 218 = 12074989 is a prime.

It is a super-3 number, since 3×123371333 (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12337099 and 12337108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12337103) 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 as a sum of consecutive naturals, namely, 6168566 + 6168567.

It is an arithmetic number, because the mean of its divisors is an integer number (6168567).

Almost surely, 212337133 is an apocalyptic number.

It is an amenable number.

12337133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12337133 is an equidigital number, since it uses as much as digits as its factorization.

12337133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 23.

The square root of 12337133 is about 3512.4255152245. The cubic root of 12337133 is about 231.0670832074.

The spelling of 12337133 in words is "twelve million, three hundred thirty-seven thousand, one hundred thirty-three".