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21011012020 = 2256117222141
BaseRepresentation
bin10011100100010110…
…101001100110110100
32000020021221000000101
4103210112221212310
5321012304341040
613352522523444
71342446440545
oct234426514664
960207830011
1021011012020
118a02194349
1240a4666584
131c9ac9c1bb
14103469c4cc
1582e8c509a
hex4e45a99b4

21011012020 has 24 divisors (see below), whose sum is σ = 44846457768. Its totient is φ = 8266627200.

The previous prime is 21011011997. The next prime is 21011012027. The reversal of 21011012020 is 2021011012.

It can be written as a sum of positive squares in 4 ways, for example, as 199487376 + 20811524644 = 14124^2 + 144262^2 .

It is a super-2 number, since 2×210110120202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21011011988 and 21011012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011012027) 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, 8609851 + ... + 8612290.

It is an arithmetic number, because the mean of its divisors is an integer number (1868602407).

Almost surely, 221011012020 is an apocalyptic number.

21011012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011012020 is an abundant number, since it is smaller than the sum of its proper divisors (23835445748).

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

21011012020 is a wasteful number, since it uses less digits than its factorization.

21011012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17222211 (or 17222209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21011012020 its reverse (2021011012), we get a palindrome (23032023032).

The spelling of 21011012020 in words is "twenty-one billion, eleven million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 17222141 34444282 68888564 86110705 172221410 344442820 1050550601 2101101202 4202202404 5252753005 10505506010 21011012020