10142242000 has 80 divisors (see below), whose sum is σ = 26753448384. Its totient is φ = 3688080000.

The previous prime is 10142241983. The next prime is 10142242003. The reversal of 10142242000 is 24224101.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142242003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208506 + ... + 252505.

Almost surely, 2^10142242000 is an apocalyptic number.

10142242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142242000 is an abundant number, since it is smaller than the sum of its proper divisors (16611206384).

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

10142242000 is a wasteful number, since it uses less digits than its factorization.

10142242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461045 (or 461029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10142242000 its reverse (24224101), we get a palindrome (10166466101).

The spelling of 10142242000 in words is "ten billion, one hundred forty-two million, two hundred forty-two thousand".