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203200013313330 = 235117342311993627
BaseRepresentation
bin101110001100111100110000…
…100111001010010100110010
3222122110201202022020101222020
4232030330300213022110302
5203113212111402011310
62000100444124252310
760541500520555155
oct5614746047122462
9878421668211866
10203200013313330
1159822707113780
121a9596353a1096
13894c8a9abc957
143826d0c6a5c9c
151875a72ed7170
hexb8cf309ca532

203200013313330 has 128 divisors (see below), whose sum is σ = 539430186387456. Its totient is φ = 48574298764800.

The previous prime is 203200013313301. The next prime is 203200013313383. The reversal of 203200013313330 is 33313310002302.

It is a self number, because there is not a number n which added to its sum of digits gives 203200013313330.

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, 100927977 + ... + 102921603.

It is an arithmetic number, because the mean of its divisors is an integer number (4214298331152).

Almost surely, 2203200013313330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203200013313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269715093193728).

203200013313330 is an abundant number, since it is smaller than the sum of its proper divisors (336230173074126).

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

203200013313330 is a wasteful number, since it uses less digits than its factorization.

203200013313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997952.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 203200013313330 its reverse (33313310002302), we get a palindrome (236513323315632).

The spelling of 203200013313330 in words is "two hundred three trillion, two hundred billion, thirteen million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 2190 2409 4015 4231 4818 8030 8462 12045 12693 21155 24090 25386 42310 46541 63465 93082 126930 139623 232705 279246 308863 465410 617726 698115 926589 1396230 1544315 1853178 1993627 3088630 3397493 3987254 4632945 5980881 6794986 9265890 9968135 10192479 11961762 16987465 19936270 20384958 21929897 29904405 33974930 43859794 50962395 59808810 65789691 101924790 109649485 131579382 145534771 219298970 291069542 328948455 436604313 657896910 727673855 873208626 1455347710 1600882481 2183021565 3201764962 4366043130 4802647443 8004412405 8435035837 9605294886 16008824810 16870071674 24013237215 25305107511 42175179185 48026474430 50610215022 84350358370 92785394207 126525537555 185570788414 253051075110 278356182621 463926971035 556712365242 615757616101 927853942070 1231515232202 1391780913105 1847272848303 2783561826210 3078788080505 3694545696606 6157576161010 6773333777111 9236364241515 13546667554222 18472728483030 20320001331333 33866668885555 40640002662666 67733337771110 101600006656665 203200013313330