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132122313013 = 1013538136973
BaseRepresentation
bin111101100001100011…
…0101000000100110101
3110122000211102220202111
41323003012220010311
54131041303004023
6140410211411021
712355054062565
oct1730306500465
9418024386674
10132122313013
115103a668329
12217335b3a71
13c5c77a5852
1465752c2da5
15368433700d
hex1ec31a8135

132122313013 has 8 divisors (see below), whose sum is σ = 133437834936. Its totient is φ = 130806936000.

The previous prime is 132122312989. The next prime is 132122313023. The reversal of 132122313013 is 310313221231.

It can be written as a sum of positive squares in 4 ways, for example, as 58785881764 + 73336431249 = 242458^2 + 270807^2 .

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 132122313013 - 25 = 132122312981 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 (132122313023) 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, 3554995 + ... + 3591967.

It is an arithmetic number, because the mean of its divisors is an integer number (16679729367).

Almost surely, 2132122313013 is an apocalyptic number.

It is an amenable number.

132122313013 is a deficient number, since it is larger than the sum of its proper divisors (1315521923).

132122313013 is a wasteful number, since it uses less digits than its factorization.

132122313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72455.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132122313013 its reverse (310313221231), we get a palindrome (442435534244).

The spelling of 132122313013 in words is "one hundred thirty-two billion, one hundred twenty-two million, three hundred thirteen thousand, thirteen".

Divisors: 1 101 35381 36973 3573481 3734273 1308141713 132122313013