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21020200020 = 22325237017243
BaseRepresentation
bin10011100100111001…
…101100110001010100
32000020221012210120200
4103210321230301110
5321022132400040
613353451500500
71342620515661
oct234471546124
960227183520
1021020200020
118a0739a436
1240a7757730
131c9cb682a1
1410359b0a68
158305dc630
hex4e4e6cc54

21020200020 has 144 divisors (see below), whose sum is σ = 66637613952. Its totient is φ = 5353286400.

The previous prime is 21020199989. The next prime is 21020200057. The reversal of 21020200020 is 2000202012.

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 = 21020199975 and 21020200011.

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 47 ways as a sum of consecutive naturals, for example, 2898519 + ... + 2905761.

It is an arithmetic number, because the mean of its divisors is an integer number (462761208).

Almost surely, 221020200020 is an apocalyptic number.

21020200020 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 21020200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33318806976).

21020200020 is an abundant number, since it is smaller than the sum of its proper divisors (45617413932).

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

21020200020 is a wasteful number, since it uses less digits than its factorization.

21020200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 21020200020 its reverse (2000202012), we get a palindrome (23020402032).

The spelling of 21020200020 in words is "twenty-one billion, twenty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 701 828 1035 1380 1402 2070 2103 2804 3505 4140 4206 6309 7010 7243 8412 10515 12618 14020 14486 16123 21030 21729 25236 28972 31545 32246 36215 42060 43458 48369 63090 64492 65187 72430 80615 86916 96738 108645 126180 130374 144860 145107 161230 166589 193476 217290 241845 260748 290214 322460 325935 333178 434580 483690 499767 580428 651870 666356 725535 832945 967380 999534 1303740 1451070 1499301 1665890 1999068 2498835 2902140 2998602 3331780 4997670 5077343 5997204 7496505 9995340 10154686 14993010 15232029 20309372 25386715 29986020 30464058 45696087 50773430 60928116 76160145 91392174 101546860 116778889 152320290 182784348 228480435 233557778 304640580 350336667 456960870 467115556 583894445 700673334 913921740 1051010001 1167788890 1401346668 1751683335 2102020002 2335577780 3503366670 4204040004 5255050005 7006733340 10510100010 21020200020