Search a number
-
+
10024444221 = 311537972551
BaseRepresentation
bin10010101011000000…
…01110000100111101
3221212121202112021220
421111200032010331
5131012224203341
64334414343553
7503262240621
oct112540160475
927777675256
1010024444221
1142845a0350
121b391babb9
13c39a986cc
146b14c7181
153da0daa66
hex25580e13d

10024444221 has 32 divisors (see below), whose sum is σ = 15044382720. Its totient is φ = 5885256000.

The previous prime is 10024444219. The next prime is 10024444231. The reversal of 10024444221 is 12244442001.

It is not a de Polignac number, because 10024444221 - 21 = 10024444219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10024444191 and 10024444200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024444231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101896 + ... + 174446.

It is an arithmetic number, because the mean of its divisors is an integer number (470136960).

Almost surely, 210024444221 is an apocalyptic number.

10024444221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10024444221 is a deficient number, since it is larger than the sum of its proper divisors (5019938499).

10024444221 is a wasteful number, since it uses less digits than its factorization.

10024444221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72697.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10024444221 its reverse (12244442001), we get a palindrome (22268886222).

The spelling of 10024444221 in words is "ten billion, twenty-four million, four hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 11 33 53 79 159 237 583 869 1749 2607 4187 12561 46057 72551 138171 217653 798061 2394183 3845203 5731529 11535609 17194587 42297233 63046819 126891699 189140457 303771037 911313111 3341481407 10024444221