Search a number
-
+
2002101201220 = 225791031972317
BaseRepresentation
bin11101001000100110100…
…001111110100101000100
321002101202212121221011111
4131020212201332211010
5230300300401414340
64131430321014404
7264434635264111
oct35104641764504
97071685557144
102002101201220
117020a4a2a41a
1228402b784404
13116a49982bc3
146cc8b96d908
153712c6d0aea
hex1d22687e944

2002101201220 has 144 divisors (see below), whose sum is σ = 4334532733440. Its totient is φ = 776594198016.

The previous prime is 2002101201209. The next prime is 2002101201251. The reversal of 2002101201220 is 221021012002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002101201220.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6315776502 + ... + 6315776818.

It is an arithmetic number, because the mean of its divisors is an integer number (30100921760).

Almost surely, 22002101201220 is an apocalyptic number.

2002101201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002101201220 is an abundant number, since it is smaller than the sum of its proper divisors (2332431532220).

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

2002101201220 is a wasteful number, since it uses less digits than its factorization.

2002101201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002101201220 its reverse (221021012002), we get a palindrome (2223122213222).

The spelling of 2002101201220 in words is "two trillion, two billion, one hundred one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 79 103 158 197 206 316 317 394 395 412 515 634 788 790 985 1030 1268 1580 1585 1970 2060 3170 3940 6340 8137 15563 16274 20291 25043 31126 32548 32651 38809 40582 40685 50086 62252 62449 65302 77618 77815 81164 81370 100172 101455 124898 125215 130604 155236 155630 162740 163255 194045 202910 249796 250430 311260 312245 326510 388090 405820 500860 624490 653020 776180 1248980 1602989 2579429 3065911 3205978 3997327 4933471 5158858 6131822 6411956 6432247 7994654 8014945 9866942 10317716 12263644 12302453 12864494 12897145 15329555 15989308 16029890 19733884 19986635 24604906 24667355 25728988 25794290 30659110 32059780 32161235 39973270 49209812 49334710 51588580 61318220 61512265 64322470 79946540 98669420 123024530 128644940 246049060 315788833 508147513 631577666 971893787 1016295026 1263155332 1267152659 1578944165 1943787574 2032590052 2534305318 2540737565 3157888330 3887575148 4859468935 5068610636 5081475130 6315776660 6335763295 9718937870 10162950260 12671526590 19437875740 25343053180 100105060061 200210120122 400420240244 500525300305 1001050600610 2002101201220