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21000000020000 = 25544572297593
BaseRepresentation
bin1001100011001011100011…
…00010101001111000100000
32202100120200002220221120112
410301211301202221320200
510223031000001120000
6112355133345030452
74265125401653141
oct461456142517040
982316602827515
1021000000020000
1167670605a6a61
122431b35625428
13b943a35886c1
145285966abac8
152663d1603235
hex1319718a9e20

21000000020000 has 120 divisors (see below), whose sum is σ = 51776221052556. Its totient is φ = 8381615616000.

The previous prime is 21000000019997. The next prime is 21000000020029. The reversal of 21000000020000 is 2000000012.

It can be written as a sum of positive squares in 10 ways, for example, as 1213196508304 + 19786803511696 = 1101452^2 + 4448236^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7991204 + ... + 10288796.

Almost surely, 221000000020000 is an apocalyptic number.

21000000020000 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 21000000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25888110526278).

21000000020000 is an abundant number, since it is smaller than the sum of its proper divisors (30776221032556).

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

21000000020000 is an equidigital number, since it uses as much as digits as its factorization.

21000000020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298080 (or 2298057 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 21000000020000 its reverse (2000000012), we get a palindrome (21002000020012).

The spelling of 21000000020000 in words is "twenty-one trillion, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 457 500 625 800 914 1000 1250 1828 2000 2285 2500 3656 4000 4570 5000 7312 9140 10000 11425 14624 18280 20000 22850 36560 45700 57125 73120 91400 114250 182800 228500 285625 365600 457000 571250 914000 1142500 1828000 2285000 2297593 4570000 4595186 9140000 9190372 11487965 18380744 22975930 36761488 45951860 57439825 73522976 91903720 114879650 183807440 229759300 287199125 367614880 459518600 574398250 919037200 1050000001 1148796500 1435995625 1838074400 2100000002 2297593000 2871991250 4200000004 4595186000 5250000005 5743982500 8400000008 9190372000 10500000010 11487965000 16800000016 21000000020 22975930000 26250000025 33600000032 42000000040 45951860000 52500000050 84000000080 105000000100 131250000125 168000000160 210000000200 262500000250 420000000400 525000000500 656250000625 840000000800 1050000001000 1312500001250 2100000002000 2625000002500 4200000004000 5250000005000 10500000010000 21000000020000