Search a number
-
+
20020211102220 = 22357225127129863
BaseRepresentation
bin1001000110101010100011…
…00100100011001000001100
32121212220122221012212201020
410203111101210203020030
510111002343020232340
6110325054044114140
74134261331403100
oct443252144431014
977786587185636
1020020211102220
1164195842722aa
1222b4074235950
13b22b89632114
144d2daa5b5900
1524ab894009d0
hex12355192320c

20020211102220 has 144 divisors (see below), whose sum is σ = 65468485571328. Its totient is φ = 4557816816000.

The previous prime is 20020211102197. The next prime is 20020211102237. The reversal of 20020211102220 is 2220111202002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20020211102220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12826992 + ... + 14302871.

It is an arithmetic number, because the mean of its divisors is an integer number (454642260912).

Almost surely, 220020211102220 is an apocalyptic number.

20020211102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020211102220 is an abundant number, since it is smaller than the sum of its proper divisors (45448274469108).

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

20020211102220 is a wasteful number, since it uses less digits than its factorization.

20020211102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27130140 (or 27130131 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20020211102220 its reverse (2220111202002), we get a palindrome (22240322304222).

The spelling of 20020211102220 in words is "twenty trillion, twenty billion, two hundred eleven million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 251 294 420 490 502 588 735 753 980 1004 1255 1470 1506 1757 2510 2940 3012 3514 3765 5020 5271 7028 7530 8785 10542 12299 15060 17570 21084 24598 26355 35140 36897 49196 52710 61495 73794 105420 122990 147588 184485 245980 368970 737940 27129863 54259726 81389589 108519452 135649315 162779178 189909041 271298630 325558356 379818082 406947945 542597260 569727123 759636164 813895890 949545205 1139454246 1329363287 1627791780 1899090410 2278908492 2658726574 2848635615 3798180820 3988089861 5317453148 5697271230 6646816435 6809595613 7976179722 11394542460 13293632870 13619191226 15952359444 19940449305 20428786839 26587265740 27238382452 34047978065 39880898610 40857573678 47667169291 68095956130 79761797220 81715147356 95334338582 102143934195 136191912260 143001507873 190668677164 204287868390 238335846455 286003015746 333670185037 408575736780 476671692910 572006031492 667340370074 715007539365 953343385820 1001010555111 1334680740148 1430015078730 1668350925185 2002021110222 2860030157460 3336701850370 4004042220444 5005052775555 6673403700740 10010105551110 20020211102220