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21011110020 = 2234512969821
BaseRepresentation
bin10011100100010111…
…000001100010000100
32000020022002222110000
4103210113001202010
5321012321010040
613352525001300
71342450326345
oct234427014204
960208088400
1021011110020
118a02250a3a
1240a46b3230
131c9b0049a4
1410346c60cc
1582e8e4130
hex4e45c1884

21011110020 has 60 divisors (see below), whose sum is σ = 65912635404. Its totient is φ = 5602962240.

The previous prime is 21011110009. The next prime is 21011110039. The reversal of 21011110020 is 2001111012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15767322624 + 5243787396 = 125568^2 + 72414^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21011109984 and 21011110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6483291 + ... + 6486530.

Almost surely, 221011110020 is an apocalyptic number.

21011110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011110020 is an abundant number, since it is smaller than the sum of its proper divisors (44901525384).

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

21011110020 is a wasteful number, since it uses less digits than its factorization.

21011110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12969842 (or 12969831 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21011110020 its reverse (2001111012), we get a palindrome (23012221032).

The spelling of 21011110020 in words is "twenty-one billion, eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 12969821 25939642 38909463 51879284 64849105 77818926 116728389 129698210 155637852 194547315 233456778 259396420 350185167 389094630 466913556 583641945 700370334 778189260 1050555501 1167283890 1400740668 1750925835 2101111002 2334567780 3501851670 4202222004 5252777505 7003703340 10505555010 21011110020