Search a number
-
+
202122100221200 = 245219113235354099
BaseRepresentation
bin101101111101010000110111…
…111111000010010100010000
3222111122200110200120210220022
4231331100313333002110100
5202443032030124034300
61553513335550003012
760400561031503055
oct5575206777022420
9874580420523808
10202122100221200
1159447557298555
121a80474a4a6468
1388a2055b75043
1437caa9472302c
1518579d65d0285
hexb7d437fc2510

202122100221200 has 120 divisors (see below), whose sum is σ = 515679661428000. Its totient is φ = 75915817850880.

The previous prime is 202122100221079. The next prime is 202122100221211. The reversal of 202122100221200 is 2122001221202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116818250 + ... + 118535849.

It is an arithmetic number, because the mean of its divisors is an integer number (4297330511900).

Almost surely, 2202122100221200 is an apocalyptic number.

202122100221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122100221200 is an abundant number, since it is smaller than the sum of its proper divisors (313557561206800).

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

202122100221200 is a wasteful number, since it uses less digits than its factorization.

202122100221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235354249 (or 235354238 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202122100221200 its reverse (2122001221202), we get a palindrome (204244101442402).

The spelling of 202122100221200 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 113 152 190 200 226 304 380 400 452 475 565 760 904 950 1130 1520 1808 1900 2147 2260 2825 3800 4294 4520 5650 7600 8588 9040 10735 11300 17176 21470 22600 34352 42940 45200 53675 85880 107350 171760 214700 429400 858800 235354099 470708198 941416396 1176770495 1882832792 2353540990 3765665584 4471727881 4707081980 5883852475 8943455762 9414163960 11767704950 17886911524 18828327920 22358639405 23535409900 26595013187 35773823048 44717278810 47070819800 53190026374 71547646096 89434557620 94141639600 106380052748 111793197025 132975065935 178869115240 212760105496 223586394050 265950131870 357738230480 425520210992 447172788100 505305250553 531900263740 664875329675 894345576200 1010610501106 1063800527480 1329750659350 1788691152400 2021221002212 2127601054960 2526526252765 2659501318700 4042442004424 5053052505530 5319002637400 8084884008848 10106105011060 10638005274800 12632631263825 20212210022120 25265262527650 40424420044240 50530525055300 101061050110600 202122100221200