Search a number
-
+
12255301331 = 7133129314827
BaseRepresentation
bin10110110100111100…
…10000111011010011
31011122002111210221022
423122132100323103
5200044324120311
65344025350055
7612461225330
oct133236207323
934562453838
1012255301331
115219886309
12246033832b
1312040121c0
148438b7987
154bada05db
hex2da790ed3

12255301331 has 32 divisors (see below), whose sum is σ = 15624204288. Its totient is φ = 9351054720.

The previous prime is 12255301327. The next prime is 12255301337. The reversal of 12255301331 is 13310355221.

It is not a de Polignac number, because 12255301331 - 22 = 12255301327 is a prime.

It is a super-2 number, since 2×122553013312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12255301331.

It is not an unprimeable number, because it can be changed into a prime (12255301337) 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 31 ways as a sum of consecutive naturals, for example, 819140 + ... + 833966.

It is an arithmetic number, because the mean of its divisors is an integer number (488256384).

Almost surely, 212255301331 is an apocalyptic number.

12255301331 is a deficient number, since it is larger than the sum of its proper divisors (3368902957).

12255301331 is a wasteful number, since it uses less digits than its factorization.

12255301331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15171.

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 12255301331 its reverse (13310355221), we get a palindrome (25565656552).

The spelling of 12255301331 in words is "twelve billion, two hundred fifty-five million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 7 13 31 91 217 293 403 2051 2821 3809 9083 14827 26663 63581 103789 118079 192751 459637 826553 1349257 3217459 4344311 5975281 30410177 41826967 56476043 134673641 395332301 942715487 1750757333 12255301331