Search a number
-
+
11442231333 = 3213418926801
BaseRepresentation
bin10101010100000001…
…01001100000100101
31002112102120120120200
422222000221200211
5141413202400313
65131222421113
7553356235011
oct125200514045
932472516520
1011442231333
114941928835
122273b91799
1311047342b0
147a7909541
1546e7e5b73
hex2aa029825

11442231333 has 48 divisors (see below), whose sum is σ = 18438703920. Its totient is φ = 6792192000.

The previous prime is 11442231323. The next prime is 11442231341. The reversal of 11442231333 is 33313224411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5126273604 + 6315957729 = 71598^2 + 79473^2 .

It is not a de Polignac number, because 11442231333 - 25 = 11442231301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11442231297 and 11442231306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442231323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413533 + ... + 440333.

It is an arithmetic number, because the mean of its divisors is an integer number (384139665).

Almost surely, 211442231333 is an apocalyptic number.

11442231333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11442231333 is a deficient number, since it is larger than the sum of its proper divisors (6996472587).

11442231333 is a wasteful number, since it uses less digits than its factorization.

11442231333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26950 (or 26947 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 11442231333 its reverse (33313224411), we get a palindrome (44755455744).

The spelling of 11442231333 in words is "eleven billion, four hundred forty-two million, two hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 41 89 117 123 267 369 533 801 1157 1599 3471 3649 4797 10413 10947 26801 32841 47437 80403 142311 241209 348413 426933 1045239 1098841 2385289 3135717 3296523 7155867 9889569 14284933 21467601 31008757 42854799 93026271 97796849 128564397 279078813 293390547 880171641 1271359037 3814077111 11442231333