Search a number
-
+
100134213030 = 23252115998803
BaseRepresentation
bin101110101000001110…
…1101101010110100110
3100120110112012001220200
41131100131231112212
53120033324304110
6114000115411330
710143263524065
oct1352035552646
9316415161820
10100134213030
1139515175365
12174a68b3b46
13959a571a37
144bbcbda1dc
152910deb6c0
hex175076d5a6

100134213030 has 96 divisors (see below), whose sum is σ = 262049299200. Its totient is φ = 26528523840.

The previous prime is 100134213007. The next prime is 100134213083. The reversal of 100134213030 is 30312431001.

100134213030 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100134212994 and 100134213012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11370609 + ... + 11379411.

It is an arithmetic number, because the mean of its divisors is an integer number (2729680200).

Almost surely, 2100134213030 is an apocalyptic number.

100134213030 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 100134213030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131024649600).

100134213030 is an abundant number, since it is smaller than the sum of its proper divisors (161915086170).

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

100134213030 is a wasteful number, since it uses less digits than its factorization.

100134213030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9626 (or 9623 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100134213030 its reverse (30312431001), we get a palindrome (130446644031).

The spelling of 100134213030 in words is "one hundred billion, one hundred thirty-four million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 599 633 1055 1198 1266 1797 1899 2110 2995 3165 3594 3798 5391 5990 6330 8803 8985 9495 10782 17606 17970 18990 26409 26955 44015 52818 53910 79227 88030 126389 132045 158454 252778 264090 379167 396135 631945 758334 792270 1137501 1263890 1857433 1895835 2275002 3714866 3791670 5272997 5572299 5687505 9287165 10545994 11144598 11375010 15818991 16716897 18574330 26364985 27861495 31637982 33433794 47456973 52729970 55722990 79094955 83584485 94913946 158189910 167168970 237284865 474569730 1112602367 2225204734 3337807101 5563011835 6675614202 10013421303 11126023670 16689035505 20026842606 33378071010 50067106515 100134213030