Search a number
-
+
10512381300 = 22352341310267
BaseRepresentation
bin10011100101001011…
…00011010101110100
31000010121220022010120
421302211203111310
5133012132200200
64455044451540
7521335523661
oct116245432564
930117808116
1010512381300
114504a68733
1220546a9bb0
13cb6bb8c85
1471a21ca68
15417d6e9a0
hex272963574

10512381300 has 72 divisors (see below), whose sum is σ = 30427698336. Its totient is φ = 2802207360.

The previous prime is 10512381293. The next prime is 10512381337. The reversal of 10512381300 is 318321501.

10512381300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105123813002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1018767 + ... + 1029033.

Almost surely, 210512381300 is an apocalyptic number.

10512381300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10512381300 is an abundant number, since it is smaller than the sum of its proper divisors (19915317036).

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

10512381300 is a wasteful number, since it uses less digits than its factorization.

10512381300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13697 (or 13690 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 10512381300 in words is "ten billion, five hundred twelve million, three hundred eighty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3413 6826 10239 10267 13652 17065 20478 20534 30801 34130 40956 41068 51195 51335 61602 68260 85325 102390 102670 123204 154005 170650 204780 205340 255975 256675 308010 341300 511950 513350 616020 770025 1023900 1026700 1540050 3080100 35041271 70082542 105123813 140165084 175206355 210247626 350412710 420495252 525619065 700825420 876031775 1051238130 1752063550 2102476260 2628095325 3504127100 5256190650 10512381300