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211221110020 = 22561917061479
BaseRepresentation
bin1100010010110111000…
…0100101110100000100
3202012012100210010122211
43010231300211310010
511430040101010040
6241011133233204
721155153545324
oct3045560456404
9665170703584
10211221110020
118163a8a0248
1234b29632804
1316bc1cb254b
14a31a4ab284
15576363c8ea
hex312dc25d04

211221110020 has 24 divisors (see below), whose sum is σ = 444280939200. Its totient is φ = 84351947232.

The previous prime is 211221110017. The next prime is 211221110021. The reversal of 211221110020 is 20011122112.

211221110020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112211100202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221110021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8518360 + ... + 8543119.

It is an arithmetic number, because the mean of its divisors is an integer number (18511705800).

Almost surely, 2211221110020 is an apocalyptic number.

211221110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221110020 is an abundant number, since it is smaller than the sum of its proper divisors (233059829180).

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

211221110020 is a wasteful number, since it uses less digits than its factorization.

211221110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17062107 (or 17062105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211221110020 its reverse (20011122112), we get a palindrome (231232232132).

The spelling of 211221110020 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 619 1238 2476 3095 6190 12380 17061479 34122958 68245916 85307395 170614790 341229580 10561055501 21122111002 42244222004 52805277505 105610555010 211221110020