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2130200200 = 2352192324373
BaseRepresentation
bin111111011111000…
…0100011010001000
312111110100101022201
41332332010122020
513330312401300
6551213325544
7103534255132
oct17676043210
95443311281
102130200200
119a3495a37
124b54968b4
1327c432cbb
14162cac052
15c703066a
hex7ef84688

2130200200 has 96 divisors (see below), whose sum is σ = 5440276800. Its totient is φ = 772104960.

The previous prime is 2130200183. The next prime is 2130200207. The reversal of 2130200200 is 20020312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2130200207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75214 + ... + 99586.

It is an arithmetic number, because the mean of its divisors is an integer number (56669550).

Almost surely, 22130200200 is an apocalyptic number.

2130200200 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 2130200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720138400).

2130200200 is an abundant number, since it is smaller than the sum of its proper divisors (3310076600).

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

2130200200 is a wasteful number, since it uses less digits than its factorization.

2130200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24431 (or 24422 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2130200200 is about 46154.0919096021. The cubic root of 2130200200 is about 1286.6886609155.

Adding to 2130200200 its reverse (20020312), we get a palindrome (2150220512).

The spelling of 2130200200 in words is "two billion, one hundred thirty million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 152 184 190 200 230 380 437 460 475 575 760 874 920 950 1150 1748 1900 2185 2300 3496 3800 4370 4600 8740 10925 17480 21850 24373 43700 48746 87400 97492 121865 194984 243730 463087 487460 560579 609325 926174 974920 1121158 1218650 1852348 2242316 2315435 2437300 2802895 3704696 4484632 4630870 4874600 5605790 9261740 10651001 11211580 11577175 14014475 18523480 21302002 22423160 23154350 28028950 42604004 46308700 53255005 56057900 85208008 92617400 106510010 112115800 213020020 266275025 426040040 532550050 1065100100 2130200200