Search a number
-
+
20021010300 = 22335211876247
BaseRepresentation
bin10010101001010110…
…000101111101111100
31220200022001200222000
4102221112011331330
5312000334312200
613110355422300
71306065531264
oct225126057574
956608050860
1020021010300
11854437a405
123a68bb4990
131b70b52b75
14d7cdd47a4
157c2a1b300
hex4a9585f7c

20021010300 has 144 divisors (see below), whose sum is σ = 64428376320. Its totient is φ = 5333584320.

The previous prime is 20021010293. The next prime is 20021010311. The reversal of 20021010300 is 301012002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3201777 + ... + 3208023.

It is an arithmetic number, because the mean of its divisors is an integer number (447419280).

Almost surely, 220021010300 is an apocalyptic number.

20021010300 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 20021010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32214188160).

20021010300 is an abundant number, since it is smaller than the sum of its proper divisors (44407366020).

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

20021010300 is a wasteful number, since it uses less digits than its factorization.

20021010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7457 (or 7444 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20021010300 its reverse (301012002), we get a palindrome (20322022302).

The spelling of 20021010300 in words is "twenty billion, twenty-one million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1187 1350 2374 2700 3561 4748 5935 6247 7122 10683 11870 12494 14244 17805 18741 21366 23740 24988 29675 31235 32049 35610 37482 42732 53415 56223 59350 62470 64098 71220 74964 89025 93705 106830 112446 118700 124940 128196 156175 160245 168669 178050 187410 213660 224892 267075 281115 312350 320490 337338 356100 374820 468525 534150 562230 624700 640980 674676 801225 843345 937050 1068300 1124460 1405575 1602450 1686690 1874100 2811150 3204900 3373380 4216725 5622300 7415189 8433450 14830378 16866900 22245567 29660756 37075945 44491134 66736701 74151890 88982268 111227835 133473402 148303780 185379725 200210103 222455670 266946804 333683505 370759450 400420206 444911340 556139175 667367010 741518900 800840412 1001050515 1112278350 1334734020 1668417525 2002101030 2224556700 3336835050 4004202060 5005252575 6673670100 10010505150 20021010300