Search a number
-
+
20020202000100 = 22325242015295089
BaseRepresentation
bin1001000110101010100010…
…00001110100111011100100
32121212220122022002102221200
410203111101001310323210
510111002333203000400
6110325053121042500
74134261161133231
oct443252101647344
977786568072850
1020020202000100
11641957a115795
1222b4071186430
13b22b87796153
144d2da92c6788
1524ab88703b00
hex123551074ee4

20020202000100 has 108 divisors (see below), whose sum is σ = 62767160235780. Its totient is φ = 5337448704000.

The previous prime is 20020202000089. The next prime is 20020202000131. The reversal of 20020202000100 is 100020202002.

It can be written as a sum of positive squares in 6 ways, for example, as 877354435584 + 19142847564516 = 936672^2 + 4375254^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1133356 + ... + 6428444.

Almost surely, 220020202000100 is an apocalyptic number.

20020202000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020202000100 is an abundant number, since it is smaller than the sum of its proper divisors (42746958235680).

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

20020202000100 is a wasteful number, since it uses less digits than its factorization.

20020202000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299310 (or 5299300 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20020202000100 its reverse (100020202002), we get a palindrome (20120222202102).

The spelling of 20020202000100 in words is "twenty trillion, twenty billion, two hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4201 8402 12603 16804 21005 25206 37809 42010 50412 63015 75618 84020 105025 126030 151236 189045 210050 252060 315075 378090 420100 630150 756180 945225 1260300 1890450 3780900 5295089 10590178 15885267 21180356 26475445 31770534 47655801 52950890 63541068 79426335 95311602 105901780 132377225 158852670 190623204 238279005 264754450 317705340 397131675 476558010 529508900 794263350 953116020 1191395025 1588526700 2382790050 4765580100 22244668889 44489337778 66734006667 88978675556 111223344445 133468013334 200202020001 222446688890 266936026668 333670033335 400404040002 444893377780 556116722225 667340066670 800808080004 1001010100005 1112233444450 1334680133340 1668350166675 2002020200010 2224466888900 3336700333350 4004040400020 5005050500025 6673400666700 10010101000050 20020202000100