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211221102020 = 22519135520677
BaseRepresentation
bin1100010010110111000…
…0100011110111000100
3202012012100202201200112
43010231300203313010
511430040100231040
6241011133132152
721155153513105
oct3045560436704
9665170681615
10211221102020
118163a895235
1234b2962a058
1316bc1caba06
14a31a4a83ac
15576363a365
hex312dc23dc4

211221102020 has 24 divisors (see below), whose sum is σ = 443796263064. Its totient is φ = 84444260096.

The previous prime is 211221102017. The next prime is 211221102067. The reversal of 211221102020 is 20201122112.

It can be written as a sum of positive squares in 4 ways, for example, as 46152788224 + 165068313796 = 214832^2 + 406286^2 .

It is a super-2 number, since 2×2112211020202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221101986 and 211221102004.

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, 2722079 + ... + 2798598.

It is an arithmetic number, because the mean of its divisors is an integer number (18491510961).

Almost surely, 2211221102020 is an apocalyptic number.

211221102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221102020 is an abundant number, since it is smaller than the sum of its proper divisors (232575161044).

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

211221102020 is a wasteful number, since it uses less digits than its factorization.

211221102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522599 (or 5522597 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211221102020 its reverse (20201122112), we get a palindrome (231422224132).

The spelling of 211221102020 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 1913 3826 7652 9565 19130 38260 5520677 11041354 22082708 27603385 55206770 110413540 10561055101 21122110202 42244220404 52805275505 105610551010 211221102020