Search a number
-
+
12223300101233 = 135956611281509
BaseRepresentation
bin1011000111011111010101…
…1101011110010001110001
31121021112110210121120101012
42301313311131132101301
53100231304311214413
641555150114120305
72401050525366554
oct261676535362161
947245423546335
1012223300101233
113992966278a11
121454b5a580095
136a8863002ac0
1430387a38a69b
15162e51bd37a8
hexb1df575e471

12223300101233 has 16 divisors (see below), whose sum is σ = 13386949060800. Its totient is φ = 11091572844480.

The previous prime is 12223300101217. The next prime is 12223300101281. The reversal of 12223300101233 is 33210100332221.

It is a cyclic number.

It is not a de Polignac number, because 12223300101233 - 24 = 12223300101217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12223300101199 and 12223300101208.

It is not an unprimeable number, because it can be changed into a prime (12223300101533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43279883 + ... + 43561391.

It is an arithmetic number, because the mean of its divisors is an integer number (836684316300).

Almost surely, 212223300101233 is an apocalyptic number.

12223300101233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12223300101233 is a deficient number, since it is larger than the sum of its proper divisors (1163648959567).

12223300101233 is a wasteful number, since it uses less digits than its factorization.

12223300101233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338192.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12223300101233 its reverse (33210100332221), we get a palindrome (45433400433454).

The spelling of 12223300101233 in words is "twelve trillion, two hundred twenty-three billion, three hundred million, one hundred one thousand, two hundred thirty-three".

Divisors: 1 13 59 767 56611 281509 735943 3340049 3659617 16609031 43420637 215917403 15936505999 207174577987 940253853941 12223300101233