Search a number
-
+
1241032005220 = 225721774491717
BaseRepresentation
bin10010000011110011010…
…001011001011001100100
311101122022122122221111111
4102003303101121121210
5130313113143131340
62350042222514404
7155442633664300
oct22036321313144
94348278587444
101241032005220
11439356238a07
1218062b135a04
139004b402037
14440cdbb4d00
15224370c6aea
hex120f3459664

1241032005220 has 72 divisors (see below), whose sum is σ = 3209997112056. Its totient is φ = 400467465216.

The previous prime is 1241032005217. The next prime is 1241032005223. The reversal of 1241032005220 is 225002301421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1241032005217) and next prime (1241032005223).

It can be written as a sum of positive squares in 4 ways, for example, as 11998135296 + 1229033869924 = 109536^2 + 1108618^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1241032005191 and 1241032005200.

It is not an unprimeable number, because it can be changed into a prime (1241032005223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37229199 + ... + 37262518.

It is an arithmetic number, because the mean of its divisors is an integer number (44583293223).

Almost surely, 21241032005220 is an apocalyptic number.

1241032005220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241032005220 is an abundant number, since it is smaller than the sum of its proper divisors (1968965106836).

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

1241032005220 is a wasteful number, since it uses less digits than its factorization.

1241032005220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74491757 (or 74491748 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1241032005220 its reverse (225002301421), we get a palindrome (1466034306641).

The spelling of 1241032005220 in words is "one trillion, two hundred forty-one billion, thirty-two million, five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 74491717 148983434 297966868 372458585 521442019 744917170 1042884038 1266359189 1489834340 2085768076 2532718378 2607210095 3650094133 5065436756 5214420190 6331795945 7300188266 8864514323 10428840380 12663591890 14600376532 17729028646 18250470665 25327183780 35458057292 36500941330 44322571615 62051600261 73001882660 88645143230 124103200522 177290286460 248206401044 310258001305 620516002610 1241032005220