Search a number
-
+
12331472153 = 72112131391151
BaseRepresentation
bin10110111110000001…
…10101010100011001
31011211101211200122212
423133000311110121
5200223324102103
65355350124505
7614404532600
oct133700652431
934741750585
1012331472153
115258881600
122481950735
131216a316b0
1484da64a37
154c28e97d8
hex2df035519

12331472153 has 72 divisors (see below), whose sum is σ = 17117291520. Its totient is φ = 8798328000.

The previous prime is 12331472143. The next prime is 12331472161. The reversal of 12331472153 is 35127413321.

12331472153 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 12331472153 - 24 = 12331472137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12331472143) 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 71 ways as a sum of consecutive naturals, for example, 10713128 + ... + 10714278.

It is an arithmetic number, because the mean of its divisors is an integer number (237740160).

Almost surely, 212331472153 is an apocalyptic number.

12331472153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12331472153 is a deficient number, since it is larger than the sum of its proper divisors (4785819367).

12331472153 is a wasteful number, since it uses less digits than its factorization.

12331472153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1321 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

Adding to 12331472153 its reverse (35127413321), we get a palindrome (47458885474).

It can be divided in two parts, 12331 and 472153, that added together give a palindrome (484484).

The spelling of 12331472153 in words is "twelve billion, three hundred thirty-one million, four hundred seventy-two thousand, one hundred fifty-three".

Divisors: 1 7 11 13 49 77 91 121 139 143 539 637 847 973 1001 1151 1529 1573 1807 5929 6811 7007 8057 10703 11011 12649 12661 14963 16819 19877 56399 74921 77077 88543 88627 104741 117733 139139 139271 159989 164593 218647 620389 733187 824131 973973 974897 1119923 1152151 1530529 1759879 1810523 2079857 6824279 7839461 8065057 10713703 12319153 12673661 14558999 19358669 22878427 86234071 88715627 101912993 135510683 160148989 251662697 948574781 1121042923 1761638879 12331472153