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12231013221 = 327194143067
BaseRepresentation
bin10110110010000011…
…00111001101100101
31011120101210211220200
423121001213031211
5200022114410341
65341401021113
7612044616450
oct133101471545
934511724820
1012231013221
1152070a7299
122454184799
1311cbc8a03b
14840594497
154b8ba3db6
hex2d9067365

12231013221 has 12 divisors (see below), whose sum is σ = 20190879072. Its totient is φ = 6989150376.

The previous prime is 12231013219. The next prime is 12231013229.

12231013221 is a `hidden beast` number, since 122 + 310 + 13 + 221 = 666.

12231013221 is nontrivially palindromic in base 10.

12231013221 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 12231013221 - 21 = 12231013219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12231013194 and 12231013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231013229) 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 11 ways as a sum of consecutive naturals, for example, 97071471 + ... + 97071596.

It is an arithmetic number, because the mean of its divisors is an integer number (1682573256).

Almost surely, 212231013221 is an apocalyptic number.

It is an amenable number.

12231013221 is a deficient number, since it is larger than the sum of its proper divisors (7959865851).

12231013221 is a wasteful number, since it uses less digits than its factorization.

12231013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194143080 (or 194143077 counting only the distinct ones).

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

It can be divided in two parts, 122310 and 13221, that added together give a palindrome (135531).

The spelling of 12231013221 in words is "twelve billion, two hundred thirty-one million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 194143067 582429201 1359001469 1747287603 4077004407 12231013221