Search a number
-
+
12241010331 = 3311311329533
BaseRepresentation
bin10110110011001111…
…01111111010011011
31011121002121202101000
423121213233322123
5200032144312311
65342355200043
7612225604524
oct133147577233
934532552330
1012241010331
115211805270
1224575a6023
13120107a4a4
14841a3784b
154b99cb056
hex2d99efe9b

12241010331 has 32 divisors (see below), whose sum is σ = 20421642240. Its totient is φ = 7179472800.

The previous prime is 12241010303. The next prime is 12241010437. The reversal of 12241010331 is 13301014221.

12241010331 is a `hidden beast` number, since 122 + 410 + 103 + 31 = 666.

It is not a de Polignac number, because 12241010331 - 222 = 12236816027 is a prime.

It is a super-2 number, since 2×122410103312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12241018331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655560 + ... + 673973.

It is an arithmetic number, because the mean of its divisors is an integer number (638176320).

Almost surely, 212241010331 is an apocalyptic number.

12241010331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12241010331 is a deficient number, since it is larger than the sum of its proper divisors (8180631909).

12241010331 is a wasteful number, since it uses less digits than its factorization.

12241010331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329584 (or 1329578 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12241010331 its reverse (13301014221), we get a palindrome (25542024552).

The spelling of 12241010331 in words is "twelve billion, two hundred forty-one million, ten thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 3069 9207 1329533 3988599 11965797 14624863 35897391 41215523 43874589 123646569 131623767 370939707 394871301 453370753 1112819121 1360112259 4080336777 12241010331