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12300210 = 23251310513
BaseRepresentation
bin101110111010…
…111110110010
3212010220201100
4232322332302
511122101320
61115345230
7206356446
oct56727662
925126640
1012300210
116a4136a
124152216
132718840
1418c2826
15112e790
hexbbafb2

12300210 has 48 divisors (see below), whose sum is σ = 34443864. Its totient is φ = 3027456.

The previous prime is 12300203. The next prime is 12300227. The reversal of 12300210 is 1200321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3101121 + 9199089 = 1761^2 + 3033^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12300192 and 12300201.

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, 4087 + ... + 6426.

Almost surely, 212300210 is an apocalyptic number.

12300210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12300210 is an abundant number, since it is smaller than the sum of its proper divisors (22143654).

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

12300210 is a wasteful number, since it uses less digits than its factorization.

12300210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539 (or 10536 counting only the distinct ones).

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

The square root of 12300210 is about 3507.1655221845. The cubic root of 12300210 is about 230.8363376631.

Adding to 12300210 its reverse (1200321), we get a palindrome (13500531).

The spelling of 12300210 in words is "twelve million, three hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 10513 21026 31539 52565 63078 94617 105130 136669 157695 189234 273338 315390 410007 473085 683345 820014 946170 1230021 1366690 2050035 2460042 4100070 6150105 12300210