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21120321000 = 2335331122637
BaseRepresentation
bin10011101010110111…
…101000010111101000
32000111220121110202010
4103222313220113220
5321223300233000
613411425435520
71345244523612
oct235267502750
960456543663
1021120321000
118a58963849
12411519bba0
131cb7821b7c
141044dd3db2
158392b7d50
hex4eade85e8

21120321000 has 128 divisors (see below), whose sum is σ = 66110204160. Its totient is φ = 5613728000.

The previous prime is 21120320951. The next prime is 21120321023. The reversal of 21120321000 is 12302112.

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

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 31 ways as a sum of consecutive naturals, for example, 921682 + ... + 944318.

It is an arithmetic number, because the mean of its divisors is an integer number (516485970).

Almost surely, 221120321000 is an apocalyptic number.

21120321000 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 21120321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33055102080).

21120321000 is an abundant number, since it is smaller than the sum of its proper divisors (44989883160).

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

21120321000 is a wasteful number, since it uses less digits than its factorization.

21120321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22972 (or 22958 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21120321000 its reverse (12302112), we get a palindrome (21132623112).

The spelling of 21120321000 in words is "twenty-one billion, one hundred twenty million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 311 375 500 600 622 750 933 1000 1244 1500 1555 1866 2488 3000 3110 3732 4665 6220 7464 7775 9330 12440 15550 18660 22637 23325 31100 37320 38875 45274 46650 62200 67911 77750 90548 93300 113185 116625 135822 155500 181096 186600 226370 233250 271644 311000 339555 452740 466500 543288 565925 679110 905480 933000 1131850 1358220 1697775 2263700 2716440 2829625 3395550 4527400 5659250 6791100 7040107 8488875 11318500 13582200 14080214 16977750 21120321 22637000 28160428 33955500 35200535 42240642 56320856 67911000 70401070 84481284 105601605 140802140 168962568 176002675 211203210 281604280 352005350 422406420 528008025 704010700 844812840 880013375 1056016050 1408021400 1760026750 2112032100 2640040125 3520053500 4224064200 5280080250 7040107000 10560160500 21120321000