10248140247030 has 128 divisors (see below), whose sum is σ = 31238698982400. Its totient is φ = 2341961690112.

The previous prime is 10248140246999. The next prime is 10248140247031. The reversal of 10248140247030 is 3074204184201.

10248140247030 is a `hidden beast` number, since 1 + 0 + 2 + 48 + 140 + 2 + 470 + 3 + 0 = 666.

It is a super-2 number, since 2×10248140247030² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10248140247031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8913766 + ... + 9997574.

It is an arithmetic number, because the mean of its divisors is an integer number (244052335800).

Almost surely, 2^{10248140247030} is an apocalyptic number.

10248140247030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10248140247030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619349491200).

10248140247030 is an abundant number, since it is smaller than the sum of its proper divisors (20990558735370).

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

10248140247030 is a wasteful number, since it uses less digits than its factorization.

10248140247030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088835 (or 1088829 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10248140247030 in words is "ten trillion, two hundred forty-eight billion, one hundred forty million, two hundred forty-seven thousand, thirty".