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20332221100 = 22521931615659
BaseRepresentation
bin10010111011111001…
…010001001010101100
31221110222122211220221
4102323321101022230
5313120022033400
613201314021124
71316565012352
oct227371211254
957428584827
1020332221100
118694010714
123b352777a4
131bc0477679
14dac4857d2
157deee1c1a
hex4bbe512ac

20332221100 has 144 divisors (see below), whose sum is σ = 48735769600. Its totient is φ = 7332768000.

The previous prime is 20332221067. The next prime is 20332221181. The reversal of 20332221100 is 112223302.

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, 3590071 + ... + 3595729.

Almost surely, 220332221100 is an apocalyptic number.

20332221100 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 20332221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24367884800).

20332221100 is an abundant number, since it is smaller than the sum of its proper divisors (28403548500).

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

20332221100 is a wasteful number, since it uses less digits than its factorization.

20332221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20332221100 its reverse (112223302), we get a palindrome (20444444402).

It can be divided in two parts, 203322 and 21100, that added together give a palindrome (224422).

The spelling of 20332221100 in words is "twenty billion, three hundred thirty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 61 62 76 95 100 122 124 155 190 244 305 310 380 475 589 610 620 775 950 1159 1178 1220 1525 1550 1891 1900 2318 2356 2945 3050 3100 3782 4636 5659 5795 5890 6100 7564 9455 11318 11590 11780 14725 18910 22636 23180 28295 28975 29450 35929 37820 47275 56590 57950 58900 71858 94550 107521 113180 115900 141475 143716 175429 179645 189100 215042 282950 345199 350858 359290 430084 537605 565900 690398 701716 718580 877145 898225 1075210 1380796 1725995 1754290 1796450 2150420 2688025 3333151 3451990 3508580 3592900 4385725 5376050 6558781 6666302 6903980 8629975 8771450 10701169 10752100 13117562 13332604 16665755 17259950 17542900 21402338 26235124 32793905 33331510 34519900 42804676 53505845 65587810 66663020 83328775 107011690 131175620 163969525 166657550 203322211 214023380 267529225 327939050 333315100 406644422 535058450 655878100 813288844 1016611055 1070116900 2033222110 4066444220 5083055275 10166110550 20332221100