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133345853 is a prime number
BaseRepresentation
bin1111111001010…
…11001000111101
3100021220200010022
413330223020331
5233114031403
621122021525
73206264264
oct774531075
9307820108
10133345853
11692a7793
12387a78a5
132181a694
14139d15db
15ba8ed38
hex7f2b23d

133345853 has 2 divisors, whose sum is σ = 133345854. Its totient is φ = 133345852.

The previous prime is 133345843. The next prime is 133345859. The reversal of 133345853 is 358543331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131377444 + 1968409 = 11462^2 + 1403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133345853 is a prime.

It is a super-2 number, since 2×1333458532 = 35562233024595218, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133345859) 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, 66672926 + 66672927.

It is an arithmetic number, because the mean of its divisors is an integer number (66672927).

Almost surely, 2133345853 is an apocalyptic number.

It is an amenable number.

133345853 is a deficient number, since it is larger than the sum of its proper divisors (1).

133345853 is an equidigital number, since it uses as much as digits as its factorization.

133345853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64800, while the sum is 35.

The square root of 133345853 is about 11547.5474885363. The cubic root of 133345853 is about 510.8889443264. Note that the first 3 decimals are identical.

The spelling of 133345853 in words is "one hundred thirty-three million, three hundred forty-five thousand, eight hundred fifty-three".