Search a number
-
+
10024442020 = 2251789331277
BaseRepresentation
bin10010101011000000…
…01101100010100100
3221212121202102021101
421111200031202210
5131012224121040
64334414325444
7503262231325
oct112540154244
927777672241
1010024442020
11428459972a
121b391b9884
13c39a976c8
146b14c644c
153da0da09a
hex25580d8a4

10024442020 has 48 divisors (see below), whose sum is σ = 22540155120. Its totient is φ = 3731492864.

The previous prime is 10024441963. The next prime is 10024442039. The reversal of 10024442020 is 2024442001.

It can be written as a sum of positive squares in 8 ways, for example, as 264582756 + 9759859264 = 16266^2 + 98792^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135379 + ... + 195898.

It is an arithmetic number, because the mean of its divisors is an integer number (469586565).

Almost surely, 210024442020 is an apocalyptic number.

10024442020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024442020 is an abundant number, since it is smaller than the sum of its proper divisors (12515713100).

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

10024442020 is a wasteful number, since it uses less digits than its factorization.

10024442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331392 (or 331390 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Subtracting from 10024442020 its sum of digits (19), we obtain a palindrome (10024442001).

Adding to 10024442020 its reverse (2024442001), we get a palindrome (12048884021).

The spelling of 10024442020 in words is "ten billion, twenty-four million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 340 356 445 890 1513 1780 3026 6052 7565 15130 30260 331277 662554 1325108 1656385 3312770 5631709 6625540 11263418 22526836 28158545 29483653 56317090 58967306 112634180 117934612 147418265 294836530 501222101 589673060 1002444202 2004888404 2506110505 5012221010 10024442020