Search a number
-
+
12211211331 = 3211289742577
BaseRepresentation
bin10110101111101100…
…00100110001000011
31011112000112210211100
423113312010301003
5200002032230311
65335412345443
7611414404134
oct132766046103
934460483740
1012211211331
1151a6a018a0
122449615283
1311c7b45b47
1483babbc8b
154b7091a56
hex2d7d84c43

12211211331 has 24 divisors (see below), whose sum is σ = 19249002864. Its totient is φ = 7398005760.

The previous prime is 12211211293. The next prime is 12211211347. The reversal of 12211211331 is 13311211221.

12211211331 is a `hidden beast` number, since 122 + 1 + 1 + 211 + 331 = 666.

12211211331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12211211331 is a prime.

It is a super-2 number, since 2×122112113312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211211371) 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 23 ways as a sum of consecutive naturals, for example, 265515 + ... + 308091.

It is an arithmetic number, because the mean of its divisors is an integer number (802041786).

Almost surely, 212211211331 is an apocalyptic number.

12211211331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211211331 is a deficient number, since it is larger than the sum of its proper divisors (7037791533).

12211211331 is a wasteful number, since it uses less digits than its factorization.

12211211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45491 (or 45488 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12211211331 its reverse (13311211221), we get a palindrome (25522422552).

The spelling of 12211211331 in words is "twelve billion, two hundred eleven million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 2897 8691 26073 31867 42577 95601 127731 286803 383193 468347 1405041 4215123 123345569 370036707 1110110121 1356801259 4070403777 12211211331