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BaseRepresentation
bin10010101011000000…
…01101100010010000
3221212121202102020122
421111200031202100
5131012224121000
64334414325412
7503262231266
oct112540154220
927777672218
1010024442000
114284599711
121b391b9868
13c39a976b1
146b14c6436
153da0da085
hex25580d890

10024442000 has 120 divisors (see below), whose sum is σ = 24776714040. Its totient is φ = 3922732800.

The previous prime is 10024441963. The next prime is 10024442039. The reversal of 10024442000 is 24442001.

Adding to 10024442000 its reverse (24442001), we get a palindrome (10048884001).

Subtracting from 10024442000 its reverse (24442001), we obtain a palindrome (9999999999).

It can be written as a sum of positive squares in 4 ways, for example, as 2316304384 + 7708137616 = 48128^2 + 87796^2 .

It is a super-2 number, since 2×100244420002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10024442000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4416866 + ... + 4419134.

It is an arithmetic number, because the mean of its divisors is an integer number (206472617).

Almost surely, 210024442000 is an apocalyptic number.

10024442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12388357020).

10024442000 is an abundant number, since it is smaller than the sum of its proper divisors (14752272040).

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

10024442000 is an equidigital number, since it uses as much as digits as its factorization.

10024442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The spelling of 10024442000 in words is "ten billion, twenty-four million, four hundred forty-two thousand".