Search a number
-
+
10244331020000 = 25547211972101
BaseRepresentation
bin1001010100010011000110…
…1101100001111011100000
31100021100102001011002100102
42111010301231201323200
52320320342220120000
633442103010441532
72105062033632500
oct225046155417340
940240361132312
1010244331020000
11329a661878730
1211955058932a8
135940618ba77c
14275b84a9ba00
1512b72a20e3d5
hex95131b61ee0

10244331020000 has 1080 divisors, whose sum is σ = 32635581152328. Its totient is φ = 3128832000000.

The previous prime is 10244331019999. The next prime is 10244331020051. The reversal of 10244331020000 is 2013344201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 101429019950 + ... + 101429020050.

Almost surely, 210244331020000 is an apocalyptic number.

10244331020000 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 10244331020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317790576164).

10244331020000 is an abundant number, since it is smaller than the sum of its proper divisors (22391250132328).

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

10244331020000 is an equidigital number, since it uses as much as digits as its factorization.

10244331020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10244331020000 its reverse (2013344201), we get a palindrome (10246344364201).

The spelling of 10244331020000 in words is "ten trillion, two hundred forty-four billion, three hundred thirty-one million, twenty thousand".