Search a number
-
+
13333300123 = 1121322328349
BaseRepresentation
bin11000110101011101…
…00000001110011011
31021102012221211021111
430122232200032123
5204301311100443
610043014521151
7651261116053
oct143256401633
937365854244
1013333300123
115722333800
1227013661b7
13134645b900
14906b2a563
1553083c69d
hex31aba039b

13333300123 has 36 divisors (see below), whose sum is σ = 16560255600. Its totient is φ = 10701936960.

The previous prime is 13333300091. The next prime is 13333300133. The reversal of 13333300123 is 32100333331.

13333300123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13333300123 - 25 = 13333300091 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13333300094 and 13333300103.

It is not an unprimeable number, because it can be changed into a prime (13333300133) 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 35 ways as a sum of consecutive naturals, for example, 456153 + ... + 484501.

It is an arithmetic number, because the mean of its divisors is an integer number (460007100).

Almost surely, 213333300123 is an apocalyptic number.

13333300123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13333300123 is a deficient number, since it is larger than the sum of its proper divisors (3226955477).

13333300123 is a wasteful number, since it uses less digits than its factorization.

13333300123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28420 (or 28396 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 13333300123 its reverse (32100333331), we get a palindrome (45433633454).

The spelling of 13333300123 in words is "thirteen billion, three hundred thirty-three million, three hundred thousand, one hundred twenty-three".

Divisors: 1 11 13 23 121 143 169 253 299 1573 1859 2783 3289 3887 20449 28349 36179 42757 311839 368537 470327 652027 3430229 4053907 4790981 7172297 8476351 44592977 52700791 78895267 93239861 110192563 579708701 1025638471 1212118193 13333300123