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211221211220 = 22597108876913
BaseRepresentation
bin1100010010110111000…
…0111110100001010100
3202012012100222021110222
43010231300332201110
511430040112224340
6241011135333512
721155154446345
oct3045560764124
9665170867428
10211221211220
118163a95a288
1234b29681298
1316bc2019626
14a31a4d60cc
15576365c8b5
hex312dc3e854

211221211220 has 24 divisors (see below), whose sum is σ = 448137378024. Its totient is φ = 83617468416.

The previous prime is 211221211217. The next prime is 211221211231. The reversal of 211221211220 is 22112122112.

It can be written as a sum of positive squares in 4 ways, for example, as 13548494404 + 197672716816 = 116398^2 + 444604^2 .

It is a super-2 number, since 2×2112212112202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54436517 + ... + 54440396.

It is an arithmetic number, because the mean of its divisors is an integer number (18672390751).

Almost surely, 2211221211220 is an apocalyptic number.

211221211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221211220 is an abundant number, since it is smaller than the sum of its proper divisors (236916166804).

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

211221211220 is a wasteful number, since it uses less digits than its factorization.

211221211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108877019 (or 108877017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211221211220 its reverse (22112122112), we get a palindrome (233333333332).

The spelling of 211221211220 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 108876913 217753826 435507652 544384565 1088769130 2177538260 10561060561 21122121122 42244242244 52805302805 105610605610 211221211220