Search a number
-
+
13312321030233 = 323074818067691
BaseRepresentation
bin1100000110111000010000…
…1010101000100001011001
31202010122102112121202001200
43001232010022220201121
53221102113140431413
644151332412104413
72542532503510011
oct301560412504131
952118375552050
1013312321030233
1142727a6196405
1215b0025465109
13757467300954
14340469670c41
1518143d87b573
hexc1b842a8859

13312321030233 has 12 divisors (see below), whose sum is σ = 19291543038768. Its totient is φ = 8845972278840.

The previous prime is 13312321030157. The next prime is 13312321030289. The reversal of 13312321030233 is 33203012321331.

13312321030233 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 321 + 0 + 302 + 33 = 666.

It is a de Polignac number, because none of the positive numbers 2k-13312321030233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13312321030197 and 13312321030206.

It is not an unprimeable number, because it can be changed into a prime (13312321030133) 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 11 ways as a sum of consecutive naturals, for example, 2409031083 + ... + 2409036608.

It is an arithmetic number, because the mean of its divisors is an integer number (1607628586564).

Almost surely, 213312321030233 is an apocalyptic number.

It is an amenable number.

13312321030233 is a deficient number, since it is larger than the sum of its proper divisors (5979222008535).

13312321030233 is a wasteful number, since it uses less digits than its factorization.

13312321030233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818068004 (or 4818068001 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13312321030233 its reverse (33203012321331), we get a palindrome (46515333351564).

The spelling of 13312321030233 in words is "thirteen trillion, three hundred twelve billion, three hundred twenty-one million, thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 307 921 2763 4818067691 14454203073 43362609219 1479146781137 4437440343411 13312321030233