Search a number
-
+
203020330410 = 232517924152291
BaseRepresentation
bin1011110100010011110…
…1000110010110101010
3201102000211120100220200
42331010331012112222
511311241201033120
6233133302133030
720445014223012
oct2750475062652
9642024510820
10203020330410
1179111758137
123341b121176
13161b5ca1331
149b7d29ac42
1554336d1e90
hex2f44f465aa

203020330410 has 96 divisors (see below), whose sum is σ = 533014447680. Its totient is φ = 53611891200.

The previous prime is 203020330379. The next prime is 203020330411. The reversal of 203020330410 is 14033020302.

203020330410 is a `hidden beast` number, since 20 + 3 + 0 + 203 + 30 + 410 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (203020330411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3856365 + ... + 3908655.

It is an arithmetic number, because the mean of its divisors is an integer number (5552233830).

Almost surely, 2203020330410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203020330410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266507223840).

203020330410 is an abundant number, since it is smaller than the sum of its proper divisors (329994117270).

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

203020330410 is a wasteful number, since it uses less digits than its factorization.

203020330410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52724 (or 52721 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 203020330410 its reverse (14033020302), we get a palindrome (217053350712).

The spelling of 203020330410 in words is "two hundred three billion, twenty million, three hundred thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 241 358 482 537 723 895 1074 1205 1446 1611 1790 2169 2410 2685 3222 3615 4338 5370 7230 8055 10845 16110 21690 43139 52291 86278 104582 129417 156873 215695 258834 261455 313746 388251 431390 470619 522910 647085 776502 784365 941238 1294170 1568730 1941255 2353095 3882510 4706190 9360089 12602131 18720178 25204262 28080267 37806393 46800445 56160534 63010655 75612786 84240801 93600890 113419179 126021310 140401335 168481602 189031965 226838358 280802670 378063930 421204005 567095895 842408010 1134191790 2255781449 4511562898 6767344347 11278907245 13534688694 20302033041 22557814490 33836721735 40604066082 67673443470 101510165205 203020330410