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203130031312130 = 2513311073541133033
BaseRepresentation
bin101110001011111011100101…
…010111000000110100000010
3222122020001010010202101210212
4232023323211113000310002
5203111040301003442010
62000004351555154122
760533442352431146
oct5613734527006402
9878201103671725
10203130031312130
11597a5a650a544a
121a947b645a5942
1389461063078a0
143823790217226
151873d2927e505
hexb8bee55c0d02

203130031312130 has 128 divisors (see below), whose sum is σ = 410379332622336. Its totient is φ = 71883255859200.

The previous prime is 203130031312111. The next prime is 203130031312141. The reversal of 203130031312130 is 31213130031302.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 203130031312096 and 203130031312105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526848094 + ... + 1526981126.

It is an arithmetic number, because the mean of its divisors is an integer number (3206088536112).

Almost surely, 2203130031312130 is an apocalyptic number.

203130031312130 is an abundant number, since it is smaller than the sum of its proper divisors (207249301310206).

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

203130031312130 is a wasteful number, since it uses less digits than its factorization.

203130031312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136732.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 203130031312130 its reverse (31213130031302), we get a palindrome (234343161343432).

The spelling of 203130031312130 in words is "two hundred three trillion, one hundred thirty billion, thirty-one million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 31 62 65 107 130 155 214 310 403 535 806 1070 1391 2015 2782 3317 3541 4030 6634 6955 7082 13910 16585 17705 33170 35410 43121 46033 86242 92066 109771 133033 215605 219542 230165 266066 378887 431210 460330 548855 665165 757774 1097710 1330330 1427023 1729429 1894435 2854046 3458858 3788870 4124023 4925531 7135115 8248046 8647145 9851062 11745497 14234531 14270230 17294290 20620115 23490994 24627655 28469062 41240230 49255310 53612299 58727485 71172655 107224598 117454970 142345310 152691461 185048903 268061495 305382922 370097806 441270461 471069853 536122990 763457305 882540922 925244515 942139706 1526914610 1850489030 2206352305 2355349265 4412704610 4710698530 5736515993 6123908089 11473031986 12247816178 14603165443 28682579965 29206330886 30619540445 50404474271 57365159930 61239080890 73015827215 100808948542 146031654430 189841150759 252022371355 379682301518 504044742710 655258165523 949205753795 1310516331046 1562538702401 1898411507590 3125077404802 3276290827615 6552581655230 7812693512005 15625387024010 20313003131213 40626006262426 101565015656065 203130031312130