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10241240224 = 256128318539
BaseRepresentation
bin10011000100110110…
…01110110010100000
3222102201200220111111
421202123032302200
5131433224141344
64412121153104
7511534051135
oct114233166240
928381626444
1010241240224
114385a053a6
121b9992b794
13c72983977
146d21dc58c
153ee161834
hex2626ceca0

10241240224 has 48 divisors (see below), whose sum is σ = 20566496160. Its totient is φ = 5018607360.

The previous prime is 10241240221. The next prime is 10241240231. The reversal of 10241240224 is 42204214201.

It is a junction number, because it is equal to n+sod(n) for n = 10241240195 and 10241240204.

It is not an unprimeable number, because it can be changed into a prime (10241240221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543147 + ... + 561685.

It is an arithmetic number, because the mean of its divisors is an integer number (428468670).

Almost surely, 210241240224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283248080).

10241240224 is an abundant number, since it is smaller than the sum of its proper divisors (10325255936).

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

10241240224 is a wasteful number, since it uses less digits than its factorization.

10241240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18893 (or 18885 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10241240224 its reverse (42204214201), we get a palindrome (52445454425).

The spelling of 10241240224 in words is "ten billion, two hundred forty-one million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 122 244 283 488 566 976 1132 1952 2264 4528 9056 17263 18539 34526 37078 69052 74156 138104 148312 276208 296624 552416 593248 1130879 2261758 4523516 5246537 9047032 10493074 18094064 20986148 36188128 41972296 83944592 167889184 320038757 640077514 1280155028 2560310056 5120620112 10241240224