Search a number
-
+
20202221100 = 223524110871511
BaseRepresentation
bin10010110100001001…
…010110111000101100
31221010221001011110010
4102310021112320230
5312333232033400
613140351413220
71313426021535
oct226411267054
957127034403
1020202221100
1186276997a6
123ab9824210
131b9c55bba9
14d990c568c
157d38b3450
hex4b4256e2c

20202221100 has 144 divisors (see below), whose sum is σ = 59972161536. Its totient is φ = 5247552000.

The previous prime is 20202221071. The next prime is 20202221113. The reversal of 20202221100 is 112220202.

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

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, 13369345 + ... + 13370855.

It is an arithmetic number, because the mean of its divisors is an integer number (416473344).

Almost surely, 220202221100 is an apocalyptic number.

20202221100 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 20202221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29986080768).

20202221100 is an abundant number, since it is smaller than the sum of its proper divisors (39769940436).

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

20202221100 is a wasteful number, since it uses less digits than its factorization.

20202221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20202221100 its reverse (112220202), we get a palindrome (20314441302).

The spelling of 20202221100 in words is "twenty billion, two hundred two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1087 1230 1511 2050 2174 2460 3022 3075 3261 4100 4348 4533 5435 6044 6150 6522 7555 9066 10870 12300 13044 15110 16305 18132 21740 22665 27175 30220 32610 37775 44567 45330 54350 61951 65220 75550 81525 89134 90660 108700 113325 123902 133701 151100 163050 178268 185853 222835 226650 247804 267402 309755 326100 371706 445670 453300 534804 619510 668505 743412 891340 929265 1114175 1239020 1337010 1548775 1642457 1858530 2228350 2674020 3097550 3284914 3342525 3717060 4456700 4646325 4927371 6195100 6569828 6685050 8212285 9292650 9854742 13370100 16424570 18585300 19709484 24636855 32849140 41061425 49273710 67340737 82122850 98547420 123184275 134681474 164245700 202022211 246368550 269362948 336703685 404044422 492737100 673407370 808088844 1010111055 1346814740 1683518425 2020222110 3367036850 4040444220 5050555275 6734073700 10101110550 20202221100