10142341000 has 192 divisors, whose sum is σ = 26360334000. Its totient is φ = 3649536000.

The previous prime is 10142340997. The next prime is 10142341003. The reversal of 10142341000 is 14324101.

10142341000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10142340997) and next prime (10142341003).

It can be written as a sum of positive squares in 8 ways, for example, as 510488836 + 9631852164 = 22594^2 + 98142^2 .

It is not an unprimeable number, because it can be changed into a prime (10142341003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13188616 + ... + 13189384.

Almost surely, 2^10142341000 is an apocalyptic number.

10142341000 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 10142341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13180167000).

10142341000 is an abundant number, since it is smaller than the sum of its proper divisors (16217993000).

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

10142341000 is a wasteful number, since it uses less digits than its factorization.

10142341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10142341000 its reverse (14324101), we get a palindrome (10156665101).

The spelling of 10142341000 in words is "ten billion, one hundred forty-two million, three hundred forty-one thousand".