Search a number
-
+
220210202100200 = 235213652912972313
BaseRepresentation
bin110010000100011110101110…
…110111110100000111101000
31001212200220000121102122012112
4302010132232313310013220
5212330410443214201300
62100203100440101452
764245443043610664
oct6204365667640750
91055626017378175
10220210202100200
1164190693243454
1220846267164888
1395b496b3c0460
143c54332c938a4
151a6d28cd78e35
hexc847aedf41e8

220210202100200 has 96 divisors (see below), whose sum is σ = 551456959834200. Its totient is φ = 81295922626560.

The previous prime is 220210202100191. The next prime is 220210202100209. The reversal of 220210202100200 is 2001202012022.

It is an interprime number because it is at equal distance from previous prime (220210202100191) and next prime (220210202100209).

It can be written as a sum of positive squares in 12 ways, for example, as 24731942426884 + 195478259673316 = 4973122^2 + 13981354^2 .

It is not an unprimeable number, because it can be changed into a prime (220210202100209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10489244 + ... + 23461556.

Almost surely, 2220210202100200 is an apocalyptic number.

220210202100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220210202100200 is an abundant number, since it is smaller than the sum of its proper divisors (331246757734000).

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

220210202100200 is a wasteful number, since it uses less digits than its factorization.

220210202100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12978871 (or 12978862 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220210202100200 its reverse (2001202012022), we get a palindrome (222211404112222).

The spelling of 220210202100200 in words is "two hundred twenty trillion, two hundred ten billion, two hundred two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 6529 13058 26116 32645 52232 65290 84877 130580 163225 169754 261160 326450 339508 424385 652900 679016 848770 1305800 1697540 2121925 3395080 4243850 8487700 12972313 16975400 25944626 51889252 64861565 103778504 129723130 168640069 259446260 324307825 337280138 518892520 648615650 674560276 843200345 1297231300 1349120552 1686400690 2594462600 3372801380 4216001725 6745602760 8432003450 16864006900 33728013800 84696231577 169392463154 338784926308 423481157885 677569852616 846962315770 1101051010501 1693924631540 2117405789425 2202102021002 3387849263080 4234811578850 4404204042004 5505255052505 8469623157700 8808408084008 11010510105010 16939246315400 22021020210020 27526275262525 44042040420040 55052550525050 110105101050100 220210202100200