Search a number
-
+
100200113130 = 235132271131821
BaseRepresentation
bin101110101010001100…
…1000110001111101010
3100120122010012010212010
41131110121012033222
53120202212110010
6114010432100350
710145023623465
oct1352431061752
9316563163763
10100200113130
1139549396057
12175049946b6
1395ab106390
144bc78722dc
152916ab7620
hex17546463ea

100200113130 has 64 divisors (see below), whose sum is σ = 260119859328. Its totient is φ = 24555966720.

The previous prime is 100200113107. The next prime is 100200113131. The reversal of 100200113130 is 31311002001.

100200113130 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100200113131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477381 + ... + 654440.

It is an arithmetic number, because the mean of its divisors is an integer number (4064372802).

Almost surely, 2100200113130 is an apocalyptic number.

100200113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100200113130 is an abundant number, since it is smaller than the sum of its proper divisors (159919746198).

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

100200113130 is a wasteful number, since it uses less digits than its factorization.

100200113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132071.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100200113130 its reverse (31311002001), we get a palindrome (131511115131).

The spelling of 100200113130 in words is "one hundred billion, two hundred million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 227 390 454 681 1135 1362 2270 2951 3405 5902 6810 8853 14755 17706 29510 44265 88530 1131821 2263642 3395463 5659105 6790926 11318210 14713673 16977315 29427346 33954630 44141019 73568365 88282038 147136730 220705095 256923367 441410190 513846734 770770101 1284616835 1541540202 2569233670 3340003771 3853850505 6680007542 7707701010 10020011313 16700018855 20040022626 33400037710 50100056565 100200113130