Search a number
-
+
2203123133130 = 2352366111934049
BaseRepresentation
bin100000000011110100010…
…111110010101011001010
321210121122102212010200220
4200003310113302223022
5242043444010230010
64404033434410510
7315112305435333
oct40036427625312
97717572763626
102203123133130
1177a380634147
122b6b91590a36
1312c9a491aaca
14788bb66b28a
153c495719970
hex200f45f2aca

2203123133130 has 128 divisors (see below), whose sum is σ = 5531731315200. Its totient is φ = 560497090560.

The previous prime is 2203123133129. The next prime is 2203123133137. The reversal of 2203123133130 is 313313213022.

It is a self number, because there is not a number n which added to its sum of digits gives 2203123133130.

It is not an unprimeable number, because it can be changed into a prime (2203123133137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544113346 + ... + 544117394.

It is an arithmetic number, because the mean of its divisors is an integer number (43216650900).

Almost surely, 22203123133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2203123133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765865657600).

2203123133130 is an abundant number, since it is smaller than the sum of its proper divisors (3328608182070).

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

2203123133130 is a wasteful number, since it uses less digits than its factorization.

2203123133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2203123133130 its reverse (313313213022), we get a palindrome (2516436346152).

The spelling of 2203123133130 in words is "two trillion, two hundred three billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 661 690 1193 1322 1983 2386 3305 3579 3966 4049 5965 6610 7158 8098 9915 11930 12147 15203 17895 19830 20245 24294 27439 30406 35790 40490 45609 54878 60735 76015 82317 91218 93127 121470 137195 152030 164634 186254 228045 274390 279381 411585 456090 465635 558762 788573 823170 931270 1396905 1577146 2365719 2676389 2793810 3942865 4731438 4830457 5352778 7885730 8029167 9660914 11828595 13381945 14491371 16058334 18137179 23657190 24152285 26763890 28982742 36274358 40145835 48304570 54411537 61556947 72456855 80291670 90685895 108823074 111100511 123113894 144913710 181371790 184670841 222201022 272057685 307784735 333301533 369341682 544115370 555502555 615569470 666603066 923354205 1111005110 1666507665 1846708410 3192932077 3333015330 6385864154 9578796231 15964660385 19157592462 31929320770 47893981155 73437437771 95787962310 146874875542 220312313313 367187188855 440624626626 734374377710 1101561566565 2203123133130