Search a number
-
+
10130144200 = 2352112418601
BaseRepresentation
bin10010110111100110…
…11011101111001000
3222010222122122101221
421123303123233020
5131221304103300
64353112051424
7506014543051
oct113363335710
928128578357
1010130144200
114329225300
121b68693b74
13c55956787
146c155d728
153e451931a
hex25bcdbbc8

10130144200 has 72 divisors (see below), whose sum is σ = 25888440690. Its totient is φ = 3683680000.

The previous prime is 10130144191. The next prime is 10130144209. The reversal of 10130144200 is 244103101.

It is an interprime number because it is at equal distance from previous prime (10130144191) and next prime (10130144209).

It can be written as a sum of positive squares in 3 ways, for example, as 9036783844 + 1093360356 = 95062^2 + 33066^2 .

It is not an unprimeable number, because it can be changed into a prime (10130144209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 185101 + ... + 233500.

Almost surely, 210130144200 is an apocalyptic number.

10130144200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130144200 is an abundant number, since it is smaller than the sum of its proper divisors (15758296490).

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

10130144200 is a wasteful number, since it uses less digits than its factorization.

10130144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418639 (or 418619 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10130144200 its reverse (244103101), we get a palindrome (10374247301).

The spelling of 10130144200 in words is "ten billion, one hundred thirty million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 418601 837202 1674404 2093005 3348808 4186010 4604611 8372020 9209222 10465025 16744040 18418444 20930050 23023055 36836888 41860100 46046110 50650721 83720200 92092220 101301442 115115275 184184440 202602884 230230550 253253605 405205768 460461100 506507210 920922200 1013014420 1266268025 2026028840 2532536050 5065072100 10130144200