Search a number
-
+
20302002300 = 22352317093079
BaseRepresentation
bin10010111010000101…
…111111100001111100
31221101212210120112010
4102322011333201330
5313034303033200
613154314211220
71316050113036
oct227205774174
957355716463
1020302002300
118678a508a8
123b27123b10
131bb7126c18
14da845ac56
157dc523150
hex4ba17f87c

20302002300 has 144 divisors (see below), whose sum is σ = 60740556800. Its totient is φ = 5230137600.

The previous prime is 20302002289. The next prime is 20302002317. The reversal of 20302002300 is 320020302.

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 47 ways as a sum of consecutive naturals, for example, 6592161 + ... + 6595239.

Almost surely, 220302002300 is an apocalyptic number.

20302002300 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 20302002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30370278400).

20302002300 is an abundant number, since it is smaller than the sum of its proper divisors (40438554500).

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

20302002300 is a wasteful number, since it uses less digits than its factorization.

20302002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20302002300 its reverse (320020302), we get a palindrome (20622022602).

The spelling of 20302002300 in words is "twenty billion, three hundred two million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 709 775 930 1418 1550 1860 2127 2325 2836 3079 3100 3545 4254 4650 6158 7090 8508 9237 9300 10635 12316 14180 15395 17725 18474 21270 21979 30790 35450 36948 42540 43958 46185 53175 61580 65937 70900 76975 87916 92370 95449 106350 109895 131874 153950 184740 190898 212700 219790 230925 263748 286347 307900 329685 381796 439580 461850 477245 549475 572694 659370 923700 954490 1098950 1145388 1318740 1431735 1648425 1908980 2183011 2197900 2386225 2863470 3296850 4366022 4772450 5726940 6549033 6593700 7158675 8732044 9544900 10915055 13098066 14317350 21830110 26196132 28634700 32745165 43660220 54575275 65490330 67673341 109150550 130980660 135346682 163725825 203020023 218301100 270693364 327451650 338366705 406040046 654903300 676733410 812080092 1015100115 1353466820 1691833525 2030200230 3383667050 4060400460 5075500575 6767334100 10151001150 20302002300