Search a number
-
+
200202121001220 = 2235131051244214449
BaseRepresentation
bin101101100001010100110000…
…010011100011100100000100
3222020212010200000221202202120
4231201110300103203210010
5202220102420434014340
61545443330144005540
760112061122424532
oct5541246023434404
9866763600852676
10200202121001220
1158877274057118
121a5546193008b0
138792c95b3cc60
143761b9769b152
151822ab38284d0
hexb615304e3904

200202121001220 has 96 divisors (see below), whose sum is σ = 604260790492800. Its totient is φ = 49233632716800.

The previous prime is 200202121001219. The next prime is 200202121001227. The reversal of 200202121001220 is 22100121202002.

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 200202121001220.

It is not an unprimeable number, because it can be changed into a prime (200202121001227) 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 31 ways as a sum of consecutive naturals, for example, 121287445 + ... + 122927004.

It is an arithmetic number, because the mean of its divisors is an integer number (6294383234300).

Almost surely, 2200202121001220 is an apocalyptic number.

200202121001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200202121001220 is an abundant number, since it is smaller than the sum of its proper divisors (404058669491580).

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

200202121001220 is a wasteful number, since it uses less digits than its factorization.

200202121001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244215525 (or 244215523 counting only the distinct ones).

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

Adding to 200202121001220 its reverse (22100121202002), we get a palindrome (222302242203222).

The spelling of 200202121001220 in words is "two hundred trillion, two hundred two billion, one hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1051 2102 3153 4204 5255 6306 10510 12612 13663 15765 21020 27326 31530 40989 54652 63060 68315 81978 136630 163956 204945 273260 409890 819780 244214449 488428898 732643347 976857796 1221072245 1465286694 2442144490 2930573388 3174787837 3663216735 4884288980 6349575674 7326433470 9524363511 12699151348 14652866940 15873939185 19048727022 31747878370 38097454044 47621817555 63495756740 95243635110 190487270220 256669385899 513338771798 770008157697 1026677543596 1283346929495 1540016315394 2566693858990 3080032630788 3336702016687 3850040788485 5133387717980 6673404033374 7700081576970 10010106050061 13346808066748 15400163153940 16683510083435 20020212100122 33367020166870 40040424200244 50050530250305 66734040333740 100101060500610 200202121001220