Search a number
-
+
12110012213 = 132435033313
BaseRepresentation
bin10110100011101000…
…00001111100110101
31011020222010100201212
423101310001330311
5144300130342323
65321355331205
7606045256025
oct132164017465
934228110655
1012110012213
115154871462
12241b750b05
1311acba2600
1482c497a85
154ad251b78
hex2d1d01f35

12110012213 has 24 divisors (see below), whose sum is σ = 13448901312. Its totient is φ = 10893512448.

The previous prime is 12110012209. The next prime is 12110012359. The reversal of 12110012213 is 31221001121.

12110012213 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 12110012213 - 22 = 12110012209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110312213) 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 23 ways as a sum of consecutive naturals, for example, 3653645 + ... + 3656957.

It is an arithmetic number, because the mean of its divisors is an integer number (560370888).

Almost surely, 212110012213 is an apocalyptic number.

12110012213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12110012213 is a deficient number, since it is larger than the sum of its proper divisors (1338889099).

12110012213 is a wasteful number, since it uses less digits than its factorization.

12110012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12110012213 its reverse (31221001121), we get a palindrome (43331013334).

The spelling of 12110012213 in words is "twelve billion, one hundred ten million, twelve thousand, two hundred thirteen".

Divisors: 1 13 43 169 503 559 3313 6539 7267 21629 43069 85007 142459 281177 559897 1666439 1851967 3655301 21663707 24075571 71656877 281628191 931539401 12110012213