Search a number
-
+
2103301312 = 26741432663
BaseRepresentation
bin111110101011101…
…1101010011000000
312102120201202222121
41331113131103000
513301421120222
6544413014024
7103056523540
oct17527352300
95376652877
102103301312
1198a293452
124a8484314
132769a56b8
1415d4a9320
15c49ba5c7
hex7d5dd4c0

2103301312 has 112 divisors (see below), whose sum is σ = 5001841152. Its totient is φ = 858654720.

The previous prime is 2103301279. The next prime is 2103301327. The reversal of 2103301312 is 2131033012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 788493 + ... + 791155.

It is an arithmetic number, because the mean of its divisors is an integer number (44659296).

Almost surely, 22103301312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500920576).

2103301312 is an abundant number, since it is smaller than the sum of its proper divisors (2898539840).

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

2103301312 is a wasteful number, since it uses less digits than its factorization.

2103301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2103301312 is about 45861.7630712122. The cubic root of 2103301312 is about 1281.2498599024.

Adding to 2103301312 its reverse (2131033012), we get a palindrome (4234334324).

The spelling of 2103301312 in words is "two billion, one hundred three million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 43 56 64 82 86 112 164 172 224 287 301 328 344 448 574 602 656 688 1148 1204 1312 1376 1763 2296 2408 2624 2663 2752 3526 4592 4816 5326 7052 9184 9632 10652 12341 14104 18368 18641 19264 21304 24682 28208 37282 42608 49364 56416 74564 85216 98728 109183 112832 114509 149128 170432 197456 218366 229018 298256 394912 436732 458036 596512 764281 789824 801563 873464 916072 1193024 1528562 1603126 1746928 1832144 3057124 3206252 3493856 3664288 4694869 6114248 6412504 6987712 7328576 9389738 12228496 12825008 18779476 24456992 25650016 32864083 37558952 48913984 51300032 65728166 75117904 131456332 150235808 262912664 300471616 525825328 1051650656 2103301312