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20310015000 = 2335411123091
BaseRepresentation
bin10010111010100100…
…100011110000011000
31221102102212122212210
4102322210203300120
5313043330440000
613155202035120
71316205164502
oct227244436030
957372778783
1020310015000
118682523970
123b29948aa0
131bb89a1072
14da9544d72
157dd0a7350
hex4ba923c18

20310015000 has 160 divisors (see below), whose sum is σ = 69217093440. Its totient is φ = 4923600000.

The previous prime is 20310014941. The next prime is 20310015071. The reversal of 20310015000 is 51001302.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103455 + ... + 226545.

It is an arithmetic number, because the mean of its divisors is an integer number (432606834).

Almost surely, 220310015000 is an apocalyptic number.

20310015000 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 20310015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34608546720).

20310015000 is an abundant number, since it is smaller than the sum of its proper divisors (48907078440).

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

20310015000 is a wasteful number, since it uses less digits than its factorization.

20310015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123131 (or 123112 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 20310015000 its reverse (51001302), we get a palindrome (20361016302).

The spelling of 20310015000 in words is "twenty billion, three hundred ten million, fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 625 660 750 825 1000 1100 1250 1320 1375 1500 1650 1875 2200 2500 2750 3000 3300 3750 4125 5000 5500 6600 6875 7500 8250 11000 13750 15000 16500 20625 27500 33000 41250 55000 82500 123091 165000 246182 369273 492364 615455 738546 984728 1230910 1354001 1477092 1846365 2461820 2708002 2954184 3077275 3692730 4062003 4923640 5416004 6154550 6770005 7385460 8124006 9231825 10832008 12309100 13540010 14770920 15386375 16248012 18463650 20310015 24618200 27080020 30772750 32496024 33850025 36927300 40620030 46159125 54160040 61545500 67700050 73854600 76931875 81240060 92318250 101550075 123091000 135400100 153863750 162480120 169250125 184636500 203100150 230795625 270800200 307727500 338500250 369273000 406200300 461591250 507750375 615455000 677000500 812400600 846250625 923182500 1015500750 1354001000 1692501250 1846365000 2031001500 2538751875 3385002500 4062003000 5077503750 6770005000 10155007500 20310015000