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133142301 = 32109135721
BaseRepresentation
bin1111110111110…
…01011100011101
3100021112022220100
413323321130131
5233041023201
621113411313
73204455655
oct773713435
9307468810
10133142301
1169178866
1238709b39
1321778b36
141397b365
15ba4e886
hex7ef971d

133142301 has 12 divisors (see below), whose sum is σ = 194082460. Its totient is φ = 87946560.

The previous prime is 133142281. The next prime is 133142323. The reversal of 133142301 is 103241331.

It can be written as a sum of positive squares in 2 ways, for example, as 30140100 + 103002201 = 5490^2 + 10149^2 .

It is not a de Polignac number, because 133142301 - 211 = 133140253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133142701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66880 + ... + 68841.

Almost surely, 2133142301 is an apocalyptic number.

It is an amenable number.

133142301 is a deficient number, since it is larger than the sum of its proper divisors (60940159).

133142301 is a wasteful number, since it uses less digits than its factorization.

133142301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135836 (or 135833 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133142301 is about 11538.7304760966. The cubic root of 133142301 is about 510.6288551830.

Adding to 133142301 its reverse (103241331), we get a palindrome (236383632).

The spelling of 133142301 in words is "one hundred thirty-three million, one hundred forty-two thousand, three hundred one".

Divisors: 1 3 9 109 327 981 135721 407163 1221489 14793589 44380767 133142301