10130242400 has 36 divisors (see below), whose sum is σ = 24730456212. Its totient is φ = 4052096640.

The previous prime is 10130242399. The next prime is 10130242417. The reversal of 10130242400 is 424203101.

It is a super-2 number, since 2×10130242400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6330602 + ... + 6332201.

It is an arithmetic number, because the mean of its divisors is an integer number (686957117).

Almost surely, 2^10130242400 is an apocalyptic number.

10130242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130242400 is an abundant number, since it is smaller than the sum of its proper divisors (14600213812).

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

10130242400 is a wasteful number, since it uses less digits than its factorization.

10130242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12662823 (or 12662810 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10130242400 its reverse (424203101), we get a palindrome (10554445501).

The spelling of 10130242400 in words is "ten billion, one hundred thirty million, two hundred forty-two thousand, four hundred".