10300240412310 has 128 divisors (see below), whose sum is σ = 25494919962624. Its totient is φ = 2661613194240.

The previous prime is 10300240412299. The next prime is 10300240412311. The reversal of 10300240412310 is 1321404200301.

It is a super-2 number, since 2×10300240412310² (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 (10300240412311) 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, 565223859 + ... + 565242081.

It is an arithmetic number, because the mean of its divisors is an integer number (199179062208).

Almost surely, 2^{10300240412310} is an apocalyptic number.

10300240412310 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 10300240412310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12747459981312).

10300240412310 is an abundant number, since it is smaller than the sum of its proper divisors (15194679550314).

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

10300240412310 is a wasteful number, since it uses less digits than its factorization.

10300240412310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21358.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10300240412310 its reverse (1321404200301), we get a palindrome (11621644612611).

The spelling of 10300240412310 in words is "ten trillion, three hundred billion, two hundred forty million, four hundred twelve thousand, three hundred ten".