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133003341 = 325325261
BaseRepresentation
bin1111110110101…
…11100001001101
3100021021021021200
413323113201031
5233022101331
621110420113
73203336562
oct773274115
9307237250
10133003341
1169093419
1238661639
132172a803
1413942869
15ba235e6
hex7ed784d

133003341 has 18 divisors (see below), whose sum is σ = 195846378. Its totient is φ = 86979360.

The previous prime is 133003333. The next prime is 133003349. The reversal of 133003341 is 143300331.

133003341 is a `hidden beast` number, since 1 + 330 + 0 + 334 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (133003333) and next prime (133003349).

It can be written as a sum of positive squares in 3 ways, for example, as 61685316 + 71318025 = 7854^2 + 8445^2 .

It is not a de Polignac number, because 133003341 - 23 = 133003333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133003349) 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, 22651 + ... + 27911.

Almost surely, 2133003341 is an apocalyptic number.

It is an amenable number.

133003341 is a deficient number, since it is larger than the sum of its proper divisors (62843037).

133003341 is an equidigital number, since it uses as much as digits as its factorization.

133003341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133003341 is about 11532.7074444815. The cubic root of 133003341 is about 510.4511463573.

Adding to 133003341 its reverse (143300331), we get a palindrome (276303672).

It can be divided in two parts, 13300 and 3341, that added together give a square (16641 = 1292).

The spelling of 133003341 in words is "one hundred thirty-three million, three thousand, three hundred forty-one".

Divisors: 1 3 9 53 159 477 2809 5261 8427 15783 25281 47349 278833 836499 2509497 14778149 44334447 133003341