10301140512 has 144 divisors (see below), whose sum is σ = 31588142040. Its totient is φ = 3165474816.

The previous prime is 10301140477. The next prime is 10301140517. The reversal of 10301140512 is 21504110301.

10301140512 is a `hidden beast` number, since 10 + 3 + 0 + 1 + 140 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7376061456 + 2925079056 = 85884^2 + 54084^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10301140512² (a number of 21 digits) contains 22 as substring.

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 (10301140517) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4225758 + ... + 4228194.

Almost surely, 2^10301140512 is an apocalyptic number.

10301140512 is a gapful number since it is divisible by the number (12) 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 10301140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794071020).

10301140512 is an abundant number, since it is smaller than the sum of its proper divisors (21287001528).

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

10301140512 is a wasteful number, since it uses less digits than its factorization.

10301140512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10301140512 its reverse (21504110301), we get a palindrome (31805250813).

The spelling of 10301140512 in words is "ten billion, three hundred one million, one hundred forty thousand, five hundred twelve".