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132142104133 = 1317597928073
BaseRepresentation
bin111101100010001001…
…0000111111001000101
3110122002012200102001221
41323010102013321011
54131111334313013
6140412155520341
712355414231624
oct1730422077105
9418065612057
10132142104133
115104a855726
122173a1590b1
13c5cb914b80
146577b956bb
153685e4608d
hex1ec4487e45

132142104133 has 8 divisors (see below), whose sum is σ = 150677874648. Its totient is φ = 114802189824.

The previous prime is 132142104119. The next prime is 132142104161. The reversal of 132142104133 is 331401241231.

It can be written as a sum of positive squares in 4 ways, for example, as 40143328164 + 91998775969 = 200358^2 + 303313^2 .

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 132142104133 - 221 = 132140006981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132142104098 and 132142104107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132142104113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298963816 + ... + 298964257.

It is an arithmetic number, because the mean of its divisors is an integer number (18834734331).

Almost surely, 2132142104133 is an apocalyptic number.

132142104133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132142104133 is a deficient number, since it is larger than the sum of its proper divisors (18535770515).

132142104133 is a wasteful number, since it uses less digits than its factorization.

132142104133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597928103.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 132142104133 its reverse (331401241231), we get a palindrome (463543345364).

The spelling of 132142104133 in words is "one hundred thirty-two billion, one hundred forty-two million, one hundred four thousand, one hundred thirty-three".

Divisors: 1 13 17 221 597928073 7773064949 10164777241 132142104133