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12334144021 = 417311336469
BaseRepresentation
bin10110111110010110…
…00001101000010101
31011211120212102202221
423133023001220111
5200230020102041
65355523302341
7614436331363
oct133713015025
934746772687
1012334144021
11525a336a61
12248281a9b1
131217458894
1485015c633
154c2c762d1
hex2df2c1a15

12334144021 has 16 divisors (see below), whose sum is σ = 12921758640. Its totient is φ = 11763118080.

The previous prime is 12334143923. The next prime is 12334144073. The reversal of 12334144021 is 12044143321.

12334144021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4571652996 + 7762491025 = 67614^2 + 88105^2 .

It is a cyclic number.

It is not a de Polignac number, because 12334144021 - 27 = 12334143893 is a prime.

It is a super-2 number, since 2×123341440212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334144091) 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 15 ways as a sum of consecutive naturals, for example, 319975 + ... + 356443.

It is an arithmetic number, because the mean of its divisors is an integer number (807609915).

Almost surely, 212334144021 is an apocalyptic number.

It is an amenable number.

12334144021 is a deficient number, since it is larger than the sum of its proper divisors (587614619).

12334144021 is a wasteful number, since it uses less digits than its factorization.

12334144021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36696.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12334144021 its reverse (12044143321), we get a palindrome (24378287342).

The spelling of 12334144021 in words is "twelve billion, three hundred thirty-four million, one hundred forty-four thousand, twenty-one".

Divisors: 1 41 73 113 2993 4633 8249 36469 338209 1495229 2662237 4120997 109151717 168960877 300832781 12334144021