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133122141 = 32101146449
BaseRepresentation
bin1111110111101…
…00100001011101
3100021111022020200
413323310201131
5233034402031
621113134113
73204343125
oct773644135
9307438220
10133122141
11691646a9
12386ba339
132176c8c9
1413973c85
15ba488e6
hex7ef485d

133122141 has 12 divisors (see below), whose sum is σ = 194192700. Its totient is φ = 87868800.

The previous prime is 133122133. The next prime is 133122149. The reversal of 133122141 is 141221331.

It is an interprime number because it is at equal distance from previous prime (133122133) and next prime (133122149).

It can be written as a sum of positive squares in 2 ways, for example, as 115025625 + 18096516 = 10725^2 + 4254^2 .

It is not a de Polignac number, because 133122141 - 23 = 133122133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133122149) 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 11 ways as a sum of consecutive naturals, for example, 72316 + ... + 74133.

It is an arithmetic number, because the mean of its divisors is an integer number (16182725).

Almost surely, 2133122141 is an apocalyptic number.

It is an amenable number.

133122141 is a deficient number, since it is larger than the sum of its proper divisors (61070559).

133122141 is a wasteful number, since it uses less digits than its factorization.

133122141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146556 (or 146553 counting only the distinct ones).

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

The square root of 133122141 is about 11537.8568633867. The cubic root of 133122141 is about 510.6030812622.

Adding to 133122141 its reverse (141221331), we get a palindrome (274343472).

The spelling of 133122141 in words is "one hundred thirty-three million, one hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 9 101 303 909 146449 439347 1318041 14791349 44374047 133122141