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21122110020 = 223511171882541
BaseRepresentation
bin10011101010111110…
…011101001001000100
32000112000222100211010
4103222332131021010
5321224230010040
613411532042220
71345265654454
oct235276351104
960460870733
1021122110020
118a59975980
124115903370
131cb7cca26b
14104533bd64
1583951ce80
hex4eaf9d244

21122110020 has 96 divisors (see below), whose sum is σ = 68313684096. Its totient is φ = 4819302400.

The previous prime is 21122110013. The next prime is 21122110069. The reversal of 21122110020 is 2001122112.

It is a super-2 number, since 2×211221100202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21122109978 and 21122110005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930051 + ... + 952490.

It is an arithmetic number, because the mean of its divisors is an integer number (711600876).

Almost surely, 221122110020 is an apocalyptic number.

21122110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122110020 is an abundant number, since it is smaller than the sum of its proper divisors (47191574076).

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

21122110020 is a wasteful number, since it uses less digits than its factorization.

21122110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882581 (or 1882579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21122110020 its reverse (2001122112), we get a palindrome (23123232132).

The spelling of 21122110020 in words is "twenty-one billion, one hundred twenty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 1882541 3765082 5647623 7530164 9412705 11295246 18825410 20707951 22590492 28238115 32003197 37650820 41415902 56476230 62123853 64006394 82831804 96009591 103539755 112952460 124247706 128012788 160015985 192019182 207079510 248495412 310619265 320031970 352035167 384038364 414159020 480047955 621238530 640063940 704070334 960095910 1056105501 1242477060 1408140668 1760175835 1920191820 2112211002 3520351670 4224422004 5280527505 7040703340 10561055010 21122110020