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21002212020 = 22351927766509
BaseRepresentation
bin10011100011110101…
…000101001010110100
32000012200100220200110
4103203311011022310
5321003031241040
613352010143020
71342311566556
oct234365051264
960180326613
1021002212020
1189a8223819
1240a1721a70
131c9920a8ba
14103344b4d6
1582dc37980
hex4e3d452b4

21002212020 has 96 divisors (see below), whose sum is σ = 62125660800. Its totient is φ = 5286587904.

The previous prime is 21002211991. The next prime is 21002212093. The reversal of 21002212020 is 2021220012.

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 = 21002211987 and 21002212005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 282526 + ... + 349034.

It is an arithmetic number, because the mean of its divisors is an integer number (647142300).

Almost surely, 221002212020 is an apocalyptic number.

21002212020 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 21002212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31062830400).

21002212020 is an abundant number, since it is smaller than the sum of its proper divisors (41123448780).

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

21002212020 is a wasteful number, since it uses less digits than its factorization.

21002212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66817 (or 66815 counting only the distinct ones).

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

Adding to 21002212020 its reverse (2021220012), we get a palindrome (23023432032).

The spelling of 21002212020 in words is "twenty-one billion, two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 277 285 380 554 570 831 1108 1140 1385 1662 2770 3324 4155 5263 5540 8310 10526 15789 16620 21052 26315 31578 52630 63156 66509 78945 105260 133018 157890 199527 266036 315780 332545 399054 665090 798108 997635 1263671 1330180 1995270 2527342 3791013 3990540 5054684 6318355 7582026 12636710 15164052 18422993 18955065 25273420 36845986 37910130 55268979 73691972 75820260 92114965 110537958 184229930 221075916 276344895 350036867 368459860 552689790 700073734 1050110601 1105379580 1400147468 1750184335 2100221202 3500368670 4200442404 5250553005 7000737340 10501106010 21002212020