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21300315000 = 233544633067
BaseRepresentation
bin10011110101100110…
…010000001101111000
32000222110022010002120
4103311212100031320
5322110340040000
613441335401240
71352561455506
oct236546201570
960873263076
1021300315000
119040521a18
124165523220
132015bc30b3
141060c89676
15849ebe6a0
hex4f5990378

21300315000 has 160 divisors (see below), whose sum is σ = 66707646720. Its totient is φ = 5665968000.

The previous prime is 21300314999. The next prime is 21300315031. The reversal of 21300315000 is 51300312.

It is a happy number.

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

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 39 ways as a sum of consecutive naturals, for example, 6943467 + ... + 6946533.

It is an arithmetic number, because the mean of its divisors is an integer number (416922792).

Almost surely, 221300315000 is an apocalyptic number.

21300315000 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 21300315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33353823360).

21300315000 is an abundant number, since it is smaller than the sum of its proper divisors (45407331720).

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

21300315000 is a wasteful number, since it uses less digits than its factorization.

21300315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 21300315000 its reverse (51300312), we get a palindrome (21351615312).

The spelling of 21300315000 in words is "twenty-one billion, three hundred million, three hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 463 500 600 625 750 926 1000 1250 1389 1500 1852 1875 2315 2500 2778 3000 3067 3704 3750 4630 5000 5556 6134 6945 7500 9201 9260 11112 11575 12268 13890 15000 15335 18402 18520 23150 24536 27780 30670 34725 36804 46005 46300 55560 57875 61340 69450 73608 76675 92010 92600 115750 122680 138900 153350 173625 184020 230025 231500 277800 289375 306700 347250 368040 383375 460050 463000 578750 613400 694500 766750 868125 920100 1150125 1157500 1389000 1420021 1533500 1736250 1840200 1916875 2300250 2315000 2840042 3067000 3472500 3833750 4260063 4600500 5680084 5750625 6945000 7100105 7667500 8520126 9201000 11360168 11501250 14200210 15335000 17040252 21300315 23002500 28400420 34080504 35500525 42600630 46005000 56800840 71001050 85201260 106501575 142002100 170402520 177502625 213003150 284004200 355005250 426006300 532507875 710010500 852012600 887513125 1065015750 1420021000 1775026250 2130031500 2662539375 3550052500 4260063000 5325078750 7100105000 10650157500 21300315000