Search a number
-
+
12332033023321 = 114481250188331
BaseRepresentation
bin1011001101110100011001…
…1100101001110101011001
31121122221010120210022121201
42303131012130221311121
53104022000423221241
642121131402034201
72411650163105404
oct263350634516531
947587116708551
1012332033023321
113a24a931676a0
121472044aa8961
136b5ba0b50a5b
14308c3317cd3b
15165bb7940931
hexb3746729d59

12332033023321 has 8 divisors (see below), whose sum is σ = 13456129248288. Its totient is φ = 11208437184000.

The previous prime is 12332033023273. The next prime is 12332033023333.

12332033023321 is nontrivially palindromic in base 10.

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-12332033023321 is a prime.

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 12332033023321.

It is not an unprimeable number, because it can be changed into a prime (12332033023351) 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, 125044875 + ... + 125143456.

It is an arithmetic number, because the mean of its divisors is an integer number (1682016156036).

Almost surely, 212332033023321 is an apocalyptic number.

12332033023321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12332033023321 is a deficient number, since it is larger than the sum of its proper divisors (1124096224967).

12332033023321 is a wasteful number, since it uses less digits than its factorization.

12332033023321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250192823.

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 1233203 and 3023321, that added together give a palindrome (4256524).

The spelling of 12332033023321 in words is "twelve trillion, three hundred thirty-two billion, thirty-three million, twenty-three thousand, three hundred twenty-one".

Divisors: 1 11 4481 49291 250188331 2752071641 1121093911211 12332033023321