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21212020020 = 22352337394111
BaseRepresentation
bin10011110000010101…
…011011110100110100
32000202022011021011010
4103300111123310310
5321420234120040
613424503112220
71350440123652
oct236025336464
960668137133
1021212020020
118aa56a5664
12413ba42670
13200081a249
141053263dd2
1584237ce80
hex4f055bd34

21212020020 has 96 divisors (see below), whose sum is σ = 62007644160. Its totient is φ = 5407839360.

The previous prime is 21212020009. The next prime is 21212020021. The reversal of 21212020020 is 2002021212.

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 = 21212019978 and 21212020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212020021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5157765 + ... + 5161875.

It is an arithmetic number, because the mean of its divisors is an integer number (645912960).

Almost surely, 221212020020 is an apocalyptic number.

21212020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31003822080).

21212020020 is an abundant number, since it is smaller than the sum of its proper divisors (40795624140).

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

21212020020 is a wasteful number, since it uses less digits than its factorization.

21212020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21212020020 its reverse (2002021212), we get a palindrome (23214041232).

The spelling of 21212020020 in words is "twenty-one billion, two hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 3739 4111 7478 8222 11217 12333 14956 16444 18695 20555 22434 24666 37390 41110 44868 49332 56085 61665 74780 82220 85997 94553 112170 123330 171994 189106 224340 246660 257991 283659 343988 378212 429985 472765 515982 567318 859970 945530 1031964 1134636 1289955 1418295 1719940 1891060 2579910 2836590 5159820 5673180 15371029 30742058 46113087 61484116 76855145 92226174 153710290 184452348 230565435 307420580 353533667 461130870 707067334 922261740 1060601001 1414134668 1767668335 2121202002 3535336670 4242404004 5303005005 7070673340 10606010010 21212020020