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133281 = 3259251
BaseRepresentation
bin100000100010100001
320202211100
4200202201
513231111
62505013
71063401
oct404241
9222740
10133281
1191155
1265169
1348885
1436801
1529756
hex208a1

133281 has 12 divisors (see below), whose sum is σ = 196560. Its totient is φ = 87000.

The previous prime is 133279. The next prime is 133283. The reversal of 133281 is 182331.

It is an interprime number because it is at equal distance from previous prime (133279) and next prime (133283).

It is not a de Polignac number, because 133281 - 21 = 133279 is a prime.

It is a super-2 number, since 2×1332812 = 35527649922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2133281 is an apocalyptic number.

It is an amenable number.

133281 is a deficient number, since it is larger than the sum of its proper divisors (63279).

133281 is a wasteful number, since it uses less digits than its factorization.

133281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 313 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 133281 is about 365.0767042691. The cubic root of 133281 is about 51.0806106971.

It can be divided in two parts, 133 and 281, that multiplied together give a palindrome (37373).

The spelling of 133281 in words is "one hundred thirty-three thousand, two hundred eighty-one".

Divisors: 1 3 9 59 177 251 531 753 2259 14809 44427 133281