Search a number
-
+
10024412420 = 2251145565511
BaseRepresentation
bin10010101011000000…
…00110010100000100
3221212121200220200002
421111200012110010
5131012222144140
64334413540432
7503262046121
oct112540062404
927777626602
1010024412420
114284579470
121b391a4718
13c39a870a9
146b14b9748
153da0d1415
hex255806504

10024412420 has 24 divisors (see below), whose sum is σ = 22965018048. Its totient is φ = 3645240800.

The previous prime is 10024412417. The next prime is 10024412429. The reversal of 10024412420 is 2421442001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10024412392 and 10024412401.

It is not an unprimeable number, because it can be changed into a prime (10024412429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22782536 + ... + 22782975.

It is an arithmetic number, because the mean of its divisors is an integer number (956875752).

Almost surely, 210024412420 is an apocalyptic number.

10024412420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024412420 is an abundant number, since it is smaller than the sum of its proper divisors (12940605628).

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

10024412420 is a wasteful number, since it uses less digits than its factorization.

10024412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45565531 (or 45565529 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10024412420 its reverse (2421442001), we get a palindrome (12445854421).

The spelling of 10024412420 in words is "ten billion, twenty-four million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 45565511 91131022 182262044 227827555 455655110 501220621 911310220 1002441242 2004882484 2506103105 5012206210 10024412420