Search a number
-
+
12133013121233 = 31814512184533
BaseRepresentation
bin1011000010001110111111…
…1011111110100011010001
31120221220102112201202200222
42300203233323332203101
53042241402324334413
641445455042522425
72361403242621614
oct260435773764321
946856375652628
1012133013121233
113958644666574
12143b561666415
136a01a48c1094
142dd35330817b
1516091a56ab08
hexb08efefe8d1

12133013121233 has 8 divisors (see below), whose sum is σ = 12137239896936. Its totient is φ = 12128786611200.

The previous prime is 12133013121217. The next prime is 12133013121241. The reversal of 12133013121233 is 33212131033121.

It can be written as a sum of positive squares in 4 ways, for example, as 1642747199809 + 10490265921424 = 1281697^2 + 3238868^2 .

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 12133013121233 - 24 = 12133013121217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12133013121133) 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, 143487635 + ... + 143572167.

It is an arithmetic number, because the mean of its divisors is an integer number (1517154987117).

Almost surely, 212133013121233 is an apocalyptic number.

It is an amenable number.

12133013121233 is a deficient number, since it is larger than the sum of its proper divisors (4226775703).

12133013121233 is an equidigital number, since it uses as much as digits as its factorization.

12133013121233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132835.

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

Adding to 12133013121233 its reverse (33212131033121), we get a palindrome (45345144154354).

The spelling of 12133013121233 in words is "twelve trillion, one hundred thirty-three billion, thirteen million, one hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3181 45121 84533 143529901 268899473 3814213493 12133013121233