Search a number
-
+
2130130100 = 225275951577
BaseRepresentation
bin111111011110111…
…0011010010110100
312111110012211011102
41332331303102310
513330303130400
6551212025232
7103533543560
oct17675632264
95443184142
102130130100
119a34482aa
124b5462218
1327c40a117
14162c906a0
15c70199d5
hex7ef734b4

2130130100 has 72 divisors (see below), whose sum is σ = 5372364480. Its totient is φ = 717937920.

The previous prime is 2130130043. The next prime is 2130130111. The reversal of 2130130100 is 10310312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15512 + ... + 67088.

Almost surely, 22130130100 is an apocalyptic number.

2130130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686182240).

2130130100 is an abundant number, since it is smaller than the sum of its proper divisors (3242234380).

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

2130130100 is a wasteful number, since it uses less digits than its factorization.

2130130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51657 (or 51650 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2130130100 is about 46153.3324907314. The cubic root of 2130130100 is about 1286.6745467703.

Adding to 2130130100 its reverse (10310312), we get a palindrome (2140440412).

The spelling of 2130130100 in words is "two billion, one hundred thirty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 590 700 826 1180 1475 1652 2065 2950 4130 5900 8260 10325 20650 41300 51577 103154 206308 257885 361039 515770 722078 1031540 1289425 1444156 1805195 2578850 3043043 3610390 5157700 6086086 7220780 9025975 12172172 15215215 18051950 21301301 30430430 36103900 42602602 60860860 76076075 85205204 106506505 152152150 213013010 304304300 426026020 532532525 1065065050 2130130100