Search a number
-
+
11323214331 = 311131910712983
BaseRepresentation
bin10101000101110101…
…01000100111111011
31002020010121212221120
422202322220213323
5141142220324311
65111331440323
7550412506452
oct124272504773
932203555846
1011323214331
114890728580
1222401560a3
1310b5b92930
14795ba7b99
15464136706
hex2a2ea89fb

11323214331 has 64 divisors (see below), whose sum is σ = 18846535680. Its totient is φ = 5944717440.

The previous prime is 11323214321. The next prime is 11323214347. The reversal of 11323214331 is 13341232311.

It is not a de Polignac number, because 11323214331 - 217 = 11323083259 is a prime.

It is a super-2 number, since 2×113232143312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11323214311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 865666 + ... + 878648.

It is an arithmetic number, because the mean of its divisors is an integer number (294477120).

Almost surely, 211323214331 is an apocalyptic number.

11323214331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11323214331 is a deficient number, since it is larger than the sum of its proper divisors (7523321349).

11323214331 is a wasteful number, since it uses less digits than its factorization.

11323214331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136.

The product of its digits is 1296, while the sum is 24.

Adding to 11323214331 its reverse (13341232311), we get a palindrome (24664446642).

The spelling of 11323214331 in words is "eleven billion, three hundred twenty-three million, two hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 11 13 19 33 39 57 107 143 209 247 321 429 627 741 1177 1391 2033 2717 3531 4173 6099 8151 12983 15301 22363 26429 38949 45903 67089 79287 142813 168779 246677 290719 428439 506337 740031 872157 1389181 1856569 2713447 3206801 4167543 5569707 8140341 9620403 15280991 18059353 26394439 35274811 45842973 54178059 79183317 105824433 198652883 290338829 343127707 595958649 871016487 1029383121 3774404777 11323214331