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12013420244 = 22719103271809
BaseRepresentation
bin10110011000000111…
…00011111011010100
31011000020100222110112
423030003203323110
5144100413421434
65304025142152
7603463246550
oct131403437324
934006328415
1012013420244
115105298491
1223b332a958
131195b830b7
1481d712860
154a4a21dce
hex2cc0e3ed4

12013420244 has 96 divisors (see below), whose sum is σ = 25662873600. Its totient is φ = 4806501120.

The previous prime is 12013420231. The next prime is 12013420247. The reversal of 12013420244 is 44202431021.

12013420244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013420247) 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 31 ways as a sum of consecutive naturals, for example, 14849312 + ... + 14850120.

It is an arithmetic number, because the mean of its divisors is an integer number (267321600).

Almost surely, 212013420244 is an apocalyptic number.

12013420244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013420244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831436800).

12013420244 is an abundant number, since it is smaller than the sum of its proper divisors (13649453356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12013420244 is a wasteful number, since it uses less digits than its factorization.

12013420244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12013420244 its reverse (44202431021), we get a palindrome (56215851265).

The spelling of 12013420244 in words is "twelve billion, thirteen million, four hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 103 133 206 266 271 412 532 542 721 809 1084 1442 1618 1897 1957 2884 3236 3794 3914 5149 5663 7588 7828 10298 11326 13699 15371 20596 22652 27398 27913 30742 36043 54796 55826 61484 72086 83327 107597 111652 144172 166654 195391 215194 219239 333308 390782 430388 438478 530347 583289 781564 876956 1060694 1166578 1534673 1583213 2121388 2333156 3069346 3166426 3712429 4165541 6138692 6332852 7424858 8331082 11082491 14849716 16662164 22164982 22581617 29158787 44329964 45163234 58317574 90326468 116635148 158071319 316142638 429050723 632285276 858101446 1716202892 3003355061 6006710122 12013420244