Search a number
-
+
10112000310 = 235519121787
BaseRepresentation
bin10010110101011100…
…01110000100110110
3222002201111211200000
421122232032010312
5131202133002220
64351223132130
7505404404316
oct113256160466
928081454600
1010112000310
114319a62555
121b625a4046
13c51c73149
146bcd99446
153e2b33390
hex25ab8e136

10112000310 has 96 divisors (see below), whose sum is σ = 27408955392. Its totient is φ = 2682292320.

The previous prime is 10112000303. The next prime is 10112000351. The reversal of 10112000310 is 1300021101.

10112000310 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 2×101120003102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10112000292 and 10112000301.

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 47 ways as a sum of consecutive naturals, for example, 453237 + ... + 475023.

It is an arithmetic number, because the mean of its divisors is an integer number (285509952).

Almost surely, 210112000310 is an apocalyptic number.

10112000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704477696).

10112000310 is an abundant number, since it is smaller than the sum of its proper divisors (17296955082).

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

10112000310 is a wasteful number, since it uses less digits than its factorization.

10112000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22000 (or 21988 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10112000310 its reverse (1300021101), we get a palindrome (11412021411).

The spelling of 10112000310 in words is "ten billion, one hundred twelve million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 191 243 270 382 405 486 573 810 955 1146 1215 1719 1910 2430 2865 3438 5157 5730 8595 10314 15471 17190 21787 25785 30942 43574 46413 51570 65361 77355 92826 108935 130722 154710 196083 217870 232065 326805 392166 464130 588249 653610 980415 1176498 1764747 1960830 2941245 3529494 4161317 5294241 5882490 8322634 8823735 10588482 12483951 17647470 20806585 24967902 26471205 37451853 41613170 52942410 62419755 74903706 112355559 124839510 187259265 224711118 337066677 374518530 561777795 674133354 1011200031 1123555590 1685333385 2022400062 3370666770 5056000155 10112000310