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133301 = 7137139
BaseRepresentation
bin100000100010110101
320202212002
4200202311
513231201
62505045
71063430
oct404265
9222762
10133301
1191173
1265185
134889c
1436817
152976b
hex208b5

133301 has 8 divisors (see below), whose sum is σ = 154560. Its totient is φ = 112608.

The previous prime is 133283. The next prime is 133303. The reversal of 133301 is 103331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133301 is a prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (19320).

2133301 is an apocalyptic number.

It is an amenable number.

133301 is a deficient number, since it is larger than the sum of its proper divisors (21259).

133301 is a wasteful number, since it uses less digits than its factorization.

133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 133301 is about 365.1040947456. The cubic root of 133301 is about 51.0831656027.

Adding to 133301 its reverse (103331), we get a palindrome (236632).

It can be divided in two parts, 13330 and 1, that added together give a palindrome (13331).

The spelling of 133301 in words is "one hundred thirty-three thousand, three hundred one".

Divisors: 1 7 137 139 959 973 19043 133301