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211110210020 = 22551892034209
BaseRepresentation
bin1100010010011100100…
…1100010100111100100
3202011220122002211110102
43010213021202213210
511424323203210040
6240552132243232
721152336114603
oct3044711424744
9664818084412
10211110210020
1181593234456
1234ab8470518
1316ba5023648
14a30987da3a
155758a33515
hex31272629e4

211110210020 has 24 divisors (see below), whose sum is σ = 443417095800. Its totient is φ = 84427768832.

The previous prime is 211110210013. The next prime is 211110210023. The reversal of 211110210020 is 20012011112.

It can be written as a sum of positive squares in 4 ways, for example, as 39959210404 + 171150999616 = 199898^2 + 413704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211110209983 and 211110210010.

It is not an unprimeable number, because it can be changed into a prime (211110210023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 913325 + ... + 1120884.

It is an arithmetic number, because the mean of its divisors is an integer number (18475712325).

Almost surely, 2211110210020 is an apocalyptic number.

211110210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211110210020 is an abundant number, since it is smaller than the sum of its proper divisors (232306885780).

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

211110210020 is a wasteful number, since it uses less digits than its factorization.

211110210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039407 (or 2039405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211110210020 its reverse (20012011112), we get a palindrome (231122221132).

The spelling of 211110210020 in words is "two hundred eleven billion, one hundred ten million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 5189 10378 20756 25945 51890 103780 2034209 4068418 8136836 10171045 20342090 40684180 10555510501 21111021002 42222042004 52777552505 105555105010 211110210020