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211210140411220 = 225293226915884833
BaseRepresentation
bin110000000001100000110001…
…011001000110010101010100
31000200211111021211112200111011
4300001200301121012111110
5210140431331421124340
62025112333215222004
762326300113522226
oct6001406131062524
91020744254480434
10211210140411220
11613307990304a5
121b831b34817904
1390b1052811b12
143a228a7d10416
1519640d90640ea
hexc01831646554

211210140411220 has 48 divisors (see below), whose sum is σ = 445251261626640. Its totient is φ = 84158602407936.

The previous prime is 211210140411217. The next prime is 211210140411239. The reversal of 211210140411220 is 22114041012112.

It can be written as a sum of positive squares in 8 ways, for example, as 15453216999364 + 195756923411856 = 3931058^2 + 13991316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211210140411191 and 211210140411200.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5353924 + ... + 21238756.

It is an arithmetic number, because the mean of its divisors is an integer number (9276067950555).

Almost surely, 2211210140411220 is an apocalyptic number.

211210140411220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210140411220 is an abundant number, since it is smaller than the sum of its proper divisors (234041121215420).

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

211210140411220 is a wasteful number, since it uses less digits than its factorization.

211210140411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15887404 (or 15887402 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 211210140411220 its reverse (22114041012112), we get a palindrome (233324181423332).

The spelling of 211210140411220 in words is "two hundred eleven trillion, two hundred ten billion, one hundred forty million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2269 2930 4538 5860 9076 11345 22690 45380 664817 1329634 2659268 3324085 6648170 13296340 15884833 31769666 63539332 79424165 158848330 317696660 4654256069 9308512138 18617024276 23271280345 36042686077 46542560690 72085372154 93085121380 144170744308 180213430385 360426860770 720853721540 10560507020561 21121014041122 42242028082244 52802535102805 105605070205610 211210140411220