Search a number
-
+
12323110332131 = 292626716177517
BaseRepresentation
bin1011001101010011001010…
…0111010010011011100011
31121122002002202011122100122
42303110302213102123203
53103400212221112011
642113054141510455
72411213106351434
oct263246247223343
947562082148318
1012323110332131
113a21224579745
12147037487242b
136b50ab3cac21
1430862812d48b
151658444353db
hexb35329d26e3

12323110332131 has 8 divisors (see below), whose sum is σ = 12748531284720. Its totient is φ = 11897721787168.

The previous prime is 12323110332109. The next prime is 12323110332167. The reversal of 12323110332131 is 13123301132321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12323110332131 is a prime.

It is a super-2 number, since 2×123231103321312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12323110332131.

It is not an unprimeable number, because it can be changed into a prime (12323110332031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7327016 + ... + 8850501.

It is an arithmetic number, because the mean of its divisors is an integer number (1593566410590).

Almost surely, 212323110332131 is an apocalyptic number.

12323110332131 is a deficient number, since it is larger than the sum of its proper divisors (425420952589).

12323110332131 is a wasteful number, since it uses less digits than its factorization.

12323110332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16203813.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 12323110332131 its reverse (13123301132321), we get a palindrome (25446411464452).

The spelling of 12323110332131 in words is "twelve trillion, three hundred twenty-three billion, one hundred ten million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 29 26267 761743 16177517 469147993 424934839039 12323110332131