Search a number
-
+
11224335213 = 337134568309
BaseRepresentation
bin10100111010000010…
…11100001101101101
31001222020120022022000
422131001130031231
5140441412211323
65053440242513
7545102163240
oct123501341555
931866508260
1011224335213
11483a9321a3
122213010439
13109b552390
147869c9257
1545a603e43
hex29d05c36d

11224335213 has 32 divisors (see below), whose sum is σ = 20466028800. Its totient is φ = 5920527168.

The previous prime is 11224335211. The next prime is 11224335233. The reversal of 11224335213 is 31253342211.

11224335213 is a `hidden beast` number, since 1 + 12 + 2 + 433 + 5 + 213 = 666.

11224335213 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 11224335213 - 21 = 11224335211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224335211) 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 31 ways as a sum of consecutive naturals, for example, 2281698 + ... + 2286611.

It is an arithmetic number, because the mean of its divisors is an integer number (639563400).

Almost surely, 211224335213 is an apocalyptic number.

11224335213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11224335213 is a deficient number, since it is larger than the sum of its proper divisors (9241693587).

11224335213 is a wasteful number, since it uses less digits than its factorization.

11224335213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568338 (or 4568332 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 11224335213 its reverse (31253342211), we get a palindrome (42477677424).

It can be divided in two parts, 112243 and 35213, that added together give a square (147456 = 3842).

The spelling of 11224335213 in words is "eleven billion, two hundred twenty-four million, three hundred thirty-five thousand, two hundred thirteen".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 4568309 13704927 31978163 41114781 59388017 95934489 123344343 178164051 287803467 415716119 534492153 863410401 1247148357 1603476459 3741445071 11224335213