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133142113 = 1317602453
BaseRepresentation
bin1111110111110…
…01011001100001
3100021112022122101
413323321121201
5233041021423
621113410401
73204455266
oct773713141
9307468571
10133142113
1169178705
1238709a01
1321778a20
141397b26d
15ba4e7ad
hex7ef9661

133142113 has 8 divisors (see below), whose sum is σ = 151818408. Its totient is φ = 115670784.

The previous prime is 133142081. The next prime is 133142143. The reversal of 133142113 is 311241331.

It can be written as a sum of positive squares in 4 ways, for example, as 32982049 + 100160064 = 5743^2 + 10008^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 133142113 - 25 = 133142081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133142143) 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 7 ways as a sum of consecutive naturals, for example, 301006 + ... + 301447.

It is an arithmetic number, because the mean of its divisors is an integer number (18977301).

Almost surely, 2133142113 is an apocalyptic number.

133142113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133142113 is a deficient number, since it is larger than the sum of its proper divisors (18676295).

133142113 is a wasteful number, since it uses less digits than its factorization.

133142113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602483.

The product of its digits is 216, while the sum is 19.

The square root of 133142113 is about 11538.7223296169. The cubic root of 133142113 is about 510.6286148430.

Adding to 133142113 its reverse (311241331), we get a palindrome (444383444).

The spelling of 133142113 in words is "one hundred thirty-three million, one hundred forty-two thousand, one hundred thirteen".

Divisors: 1 13 17 221 602453 7831889 10241701 133142113