Search a number
-
+
12020010344 = 2317415389457
BaseRepresentation
bin10110011000111001…
…01100110101101000
31011000200202210101022
423030130230311220
5144104110312334
65304422312012
7603603254636
oct131434546550
934020683338
1012020010344
115108a89751
1223b5588608
13119734c874
1482054a356
154a53c482e
hex2cc72cd68

12020010344 has 128 divisors (see below), whose sum is σ = 25241479200. Its totient is φ = 5341839360.

The previous prime is 12020010311. The next prime is 12020010371. The reversal of 12020010344 is 44301002021.

12020010344 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 16 ways, for example, as 1921770244 + 10098240100 = 43838^2 + 100490^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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, 26301764 + ... + 26302220.

Almost surely, 212020010344 is an apocalyptic number.

It is an amenable number.

12020010344 is an abundant number, since it is smaller than the sum of its proper divisors (13221468856).

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

12020010344 is a wasteful number, since it uses less digits than its factorization.

12020010344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12020010344 its reverse (44301002021), we get a palindrome (56321012365).

The spelling of 12020010344 in words is "twelve billion, twenty million, ten thousand, three hundred forty-four".

Divisors: 1 2 4 8 17 34 41 53 68 82 89 106 136 164 178 212 328 356 424 457 697 712 901 914 1394 1513 1802 1828 2173 2788 3026 3604 3649 3656 4346 4717 5576 6052 7208 7298 7769 8692 9434 12104 14596 15538 17384 18737 18868 24221 29192 31076 36941 37474 37736 40673 48442 62033 62152 73882 74948 80189 81346 96884 124066 147764 149896 160378 162692 193397 193768 248132 295528 318529 320756 325384 386794 411757 496264 637058 641512 691441 773588 823514 993061 1274116 1382882 1547176 1647028 1667593 1986122 2155669 2548232 2765764 3287749 3294056 3335186 3972244 4311338 5531528 6575498 6670372 7944488 8622676 13150996 13340744 16882037 17245352 26301992 28349081 33764074 36646373 56698162 67528148 73292746 88382429 113396324 135056296 146585492 176764858 226792648 293170984 353529716 707059432 1502501293 3005002586 6010005172 12020010344