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211201122220 = 225112101864091
BaseRepresentation
bin1100010010110010010…
…0010101111110101100
3202012010222011122112221
43010230210111332230
511430014441402340
6241005141005124
721154521630004
oct3045444257654
9665128148487
10211201122220
118162a589100
1234b229b37a4
1316bbab0484a
14a317987004
1557619e044a
hex312c915fac

211201122220 has 72 divisors (see below), whose sum is σ = 492335427024. Its totient is φ = 76039920000.

The previous prime is 211201122173. The next prime is 211201122221. The reversal of 211201122220 is 22221102112.

It is a happy number.

211201122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211201122194 and 211201122203.

It is not an unprimeable number, because it can be changed into a prime (211201122221) 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 23 ways as a sum of consecutive naturals, for example, 187626 + ... + 676465.

It is an arithmetic number, because the mean of its divisors is an integer number (6837992042).

Almost surely, 2211201122220 is an apocalyptic number.

211201122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201122220 is an abundant number, since it is smaller than the sum of its proper divisors (281134304804).

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

211201122220 is a wasteful number, since it uses less digits than its factorization.

211201122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864223 (or 864210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211201122220 its reverse (22221102112), we get a palindrome (233422224332).

The spelling of 211201122220 in words is "two hundred eleven billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 48884 61105 122210 244420 864091 1728182 3456364 4320455 8640910 9505001 17281820 19010002 38020004 47525005 87273191 95050010 104555011 174546382 190100020 209110022 349092764 418220044 436365955 522775055 872731910 960005101 1045550110 1745463820 1920010202 2091100220 3840020404 4800025505 9600051010 10560056111 19200102020 21120112222 42240224444 52800280555 105600561110 211201122220