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2130000210 = 23251317107089
BaseRepresentation
bin111111011110101…
…0011100101010010
312111102222012222200
41332331103211102
513330240001320
6551205144030
7103532463102
oct17675234522
95442865880
102130000210
119a3369758
124b53bb016
1327c392c70
14162c59202
15c6ee1290
hex7ef53952

2130000210 has 96 divisors (see below), whose sum is σ = 6314883120. Its totient is φ = 493461504.

The previous prime is 2130000203. The next prime is 2130000221. The reversal of 2130000210 is 120000312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 374306409 + 1755693801 = 19347^2 + 41901^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2130000192 and 2130000201.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33655 + ... + 73434.

Almost surely, 22130000210 is an apocalyptic number.

2130000210 is an abundant number, since it is smaller than the sum of its proper divisors (4184882910).

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

2130000210 is a wasteful number, since it uses less digits than its factorization.

2130000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107132 (or 107129 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2130000210 is about 46151.9253119520. The cubic root of 2130000210 is about 1286.6483935080.

Adding to 2130000210 its reverse (120000312), we get a palindrome (2250000522).

The spelling of 2130000210 in words is "two billion, one hundred thirty million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 107089 214178 321267 535445 642534 963801 1070890 1392157 1606335 1820513 1927602 2784314 3212670 3641026 4176471 4819005 5461539 6960785 8352942 9102565 9638010 10923078 12529413 13921570 16384617 18205130 20882355 23666669 25058826 27307695 32769234 41764710 47333338 54615390 62647065 71000007 81923085 118333345 125294130 142000014 163846170 213000021 236666690 355000035 426000042 710000070 1065000105 2130000210