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133142103 = 3329971753
BaseRepresentation
bin1111110111110…
…01011001010111
3100021112022122000
413323321121113
5233041021403
621113410343
73204455253
oct773713127
9307468560
10133142103
11691786a6
12387099b3
1321778a13
141397b263
15ba4e7a3
hex7ef9657

133142103 has 32 divisors (see below), whose sum is σ = 206270400. Its totient is φ = 84768768.

The previous prime is 133142081. The next prime is 133142143. The reversal of 133142103 is 301241331.

It is not a de Polignac number, because 133142103 - 214 = 133125719 is a prime.

It is a congruent 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75075 + ... + 76827.

It is an arithmetic number, because the mean of its divisors is an integer number (6445950).

Almost surely, 2133142103 is an apocalyptic number.

133142103 is a deficient number, since it is larger than the sum of its proper divisors (73128297).

133142103 is a wasteful number, since it uses less digits than its factorization.

133142103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1882 counting only the distinct ones).

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

The square root of 133142103 is about 11538.7218962934. The cubic root of 133142103 is about 510.6286020589.

Adding to 133142103 its reverse (301241331), we get a palindrome (434383434).

It can be divided in two parts, 1331 and 42103, that added together give a palindrome (43434).

The spelling of 133142103 in words is "one hundred thirty-three million, one hundred forty-two thousand, one hundred three".

Divisors: 1 3 9 27 29 87 97 261 291 783 873 1753 2619 2813 5259 8439 15777 25317 47331 50837 75951 152511 170041 457533 510123 1372599 1530369 4591107 4931189 14793567 44380701 133142103