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21001231320 = 23352336911087
BaseRepresentation
bin10011100011110001…
…010101101111011000
32000012121112002102020
4103203301111233120
5321002303400240
613351533134440
71342300343436
oct234361255730
960177462366
1021001231320
1189a7713a23
1240a132a420
131c98c563c4
141033273d56
1582dae20d0
hex4e3c55bd8

21001231320 has 128 divisors (see below), whose sum is σ = 63423959040. Its totient is φ = 5563100160.

The previous prime is 21001231301. The next prime is 21001231327. The reversal of 21001231320 is 2313210012.

It is a super-2 number, since 2×210012313202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21001231320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001231327) by changing a digit.

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, 19319817 + ... + 19320903.

It is an arithmetic number, because the mean of its divisors is an integer number (495499680).

Almost surely, 221001231320 is an apocalyptic number.

21001231320 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 21001231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711979520).

21001231320 is an abundant number, since it is smaller than the sum of its proper divisors (42422727720).

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

21001231320 is a wasteful number, since it uses less digits than its factorization.

21001231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21001231320 its reverse (2313210012), we get a palindrome (23314441332).

The spelling of 21001231320 in words is "twenty-one billion, one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 691 699 932 1087 1165 1382 1398 1864 2073 2174 2330 2764 2796 3261 3455 3495 4146 4348 4660 5435 5528 5592 6522 6910 6990 8292 8696 9320 10365 10870 13044 13820 13980 16305 16584 20730 21740 26088 27640 27960 32610 41460 43480 65220 82920 130440 161003 253271 322006 483009 506542 644012 751117 759813 805015 966018 1013084 1266355 1288024 1502234 1519626 1610030 1932036 2026168 2253351 2415045 2532710 3004468 3039252 3220060 3755585 3799065 3864072 4506702 4830090 5065420 6008936 6078504 6440120 7511170 7598130 9013404 9660180 10130840 11266755 15022340 15196260 18026808 19320360 22533510 30044680 30392520 45067020 90134040 175010261 350020522 525030783 700041044 875051305 1050061566 1400082088 1750102610 2100123132 2625153915 3500205220 4200246264 5250307830 7000410440 10500615660 21001231320