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211220010220 = 225311250313567
BaseRepresentation
bin1100010010110110110…
…0011001010011101100
3202012012021201021000111
43010231230121103230
511430034310311340
6241011053505404
721155141315032
oct3045554312354
9665167637014
10211220010220
118163a209a1a
1234b291a2264
1316bc19b8a8b
14a31a2a2552
1557634c1aea
hex312db194ec

211220010220 has 48 divisors (see below), whose sum is σ = 445198860288. Its totient is φ = 84176487360.

The previous prime is 211220010193. The next prime is 211220010229. The reversal of 211220010220 is 22010022112.

It is a happy number.

211220010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112200102202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211220010220.

It is not an unprimeable number, because it can be changed into a prime (211220010229) 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 15 ways as a sum of consecutive naturals, for example, 15561877 + ... + 15575443.

It is an arithmetic number, because the mean of its divisors is an integer number (9274976256).

Almost surely, 2211220010220 is an apocalyptic number.

211220010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220010220 is an abundant number, since it is smaller than the sum of its proper divisors (233978850068).

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

211220010220 is a wasteful number, since it uses less digits than its factorization.

211220010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16390 (or 16388 counting only the distinct ones).

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

Adding to 211220010220 its reverse (22010022112), we get a palindrome (233230032332).

The spelling of 211220010220 in words is "two hundred eleven billion, two hundred twenty million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 311 622 1244 1555 2503 3110 5006 6220 10012 12515 13567 25030 27134 50060 54268 67835 135670 271340 778433 1556866 3113732 3892165 4219337 7784330 8438674 15568660 16877348 21096685 33958201 42193370 67916402 84386740 135832804 169791005 339582010 679164020 10561000511 21122001022 42244002044 52805002555 105610005110 211220010220