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230131203210 = 232519463729023
BaseRepresentation
bin1101011001010011100…
…0110111110010001010
3211000000020110101211200
43112110320313302022
512232302042000320
6253415410205030
722424602644336
oct3262470676212
9730006411750
10230131203210
1189664079137
1238726583776
13189169315bc
14b1d1b207c6
155ebd868290
hex3594e37c8a

230131203210 has 96 divisors (see below), whose sum is σ = 629990300160. Its totient is φ = 58123868544.

The previous prime is 230131203209. The next prime is 230131203241. The reversal of 230131203210 is 12302131032.

230131203210 is a `hidden beast` number, since 2 + 30 + 1 + 312 + 0 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7914759 + ... + 7943781.

It is an arithmetic number, because the mean of its divisors is an integer number (6562398960).

Almost surely, 2230131203210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230131203210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314995150080).

230131203210 is an abundant number, since it is smaller than the sum of its proper divisors (399859096950).

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

230131203210 is a wasteful number, since it uses less digits than its factorization.

230131203210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33692 (or 33689 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230131203210 its reverse (12302131032), we get a palindrome (242433334242).

The spelling of 230131203210 in words is "two hundred thirty billion, one hundred thirty-one million, two hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 4637 9274 13911 23185 27822 29023 41733 46370 58046 69555 83466 87069 88103 139110 145115 174138 176206 208665 261207 264309 290230 417330 435345 440515 522414 528618 551437 792927 870690 881030 1102874 1306035 1321545 1585854 1654311 2612070 2643090 2757185 3308622 3964635 4962933 5514370 7929270 8271555 9925866 16543110 24814665 49629330 134579651 269159302 403738953 672898255 807477906 1211216859 1345796510 2018694765 2422433718 2557013369 4037389530 5114026738 6056084295 7671040107 12112168590 12785066845 15342080214 23013120321 25570133690 38355200535 46026240642 76710401070 115065601605 230131203210