10301042000 has 80 divisors (see below), whose sum is σ = 24981383232. Its totient is φ = 4108265600.

The previous prime is 10301041981. The next prime is 10301042069. The reversal of 10301042000 is 24010301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10301042000² (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 15 ways as a sum of consecutive naturals, for example, 686579 + ... + 701421.

Almost surely, 2^10301042000 is an apocalyptic number.

10301042000 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 10301042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12490691616).

10301042000 is an abundant number, since it is smaller than the sum of its proper divisors (14680341232).

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

10301042000 is a wasteful number, since it uses less digits than its factorization.

10301042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15213 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10301042000 its reverse (24010301), we get a palindrome (10325052301).

The spelling of 10301042000 in words is "ten billion, three hundred one million, forty-two thousand".