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10010244240 = 24325194715569
BaseRepresentation
bin10010101001010100…
…00011010010010000
3221211122001002120200
421110222003102100
5131000110303430
64333150135200
7503030446353
oct112452032220
927748032520
1010010244240
114277581727
121b344b1500
13c36b66259
146ad66c29a
153d8c33460
hex254a83490

10010244240 has 240 divisors, whose sum is σ = 36142329600. Its totient is φ = 2474938368.

The previous prime is 10010244239. The next prime is 10010244241. The reversal of 10010244240 is 4244201001.

It is an interprime number because it is at equal distance from previous prime (10010244239) and next prime (10010244241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10010244241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635176 + ... + 650744.

It is an arithmetic number, because the mean of its divisors is an integer number (150593040).

Almost surely, 210010244240 is an apocalyptic number.

10010244240 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 10010244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071164800).

10010244240 is an abundant number, since it is smaller than the sum of its proper divisors (26132085360).

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

10010244240 is a wasteful number, since it uses less digits than its factorization.

10010244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15654 (or 15645 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10010244240 its reverse (4244201001), we get a palindrome (14254445241).

The spelling of 10010244240 in words is "ten billion, ten million, two hundred forty-four thousand, two hundred forty".