Search a number
-
+
133032101 is a prime number
BaseRepresentation
bin1111110110111…
…10100010100101
3100021022201201212
413323132202211
5233024011401
621111201205
73203516456
oct773364245
9307281655
10133032101
1169102a94
1238676205
132173a927
141394d12d
15ba2bdbb
hex7ede8a5

133032101 has 2 divisors, whose sum is σ = 133032102. Its totient is φ = 133032100.

The previous prime is 133032083. The next prime is 133032103. The reversal of 133032101 is 101230331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110460100 + 22572001 = 10510^2 + 4751^2 .

It is a cyclic number.

It is not a de Polignac number, because 133032101 - 26 = 133032037 is a prime.

Together with 133032103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133032103) 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, 66516050 + 66516051.

It is an arithmetic number, because the mean of its divisors is an integer number (66516051).

Almost surely, 2133032101 is an apocalyptic number.

It is an amenable number.

133032101 is a deficient number, since it is larger than the sum of its proper divisors (1).

133032101 is an equidigital number, since it uses as much as digits as its factorization.

133032101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133032101 is about 11533.9542655587. The cubic root of 133032101 is about 510.4879362025.

Adding to 133032101 its reverse (101230331), we get a palindrome (234262432).

The spelling of 133032101 in words is "one hundred thirty-three million, thirty-two thousand, one hundred one".