10301742000 has 960 divisors, whose sum is σ = 42585274368. Its totient is φ = 2384640000.

The previous prime is 10301741951. The next prime is 10301742019. The reversal of 10301742000 is 24710301.

It is a super-2 number, since 2×10301742000² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219185977 + ... + 219186023.

Almost surely, 2^10301742000 is an apocalyptic number.

10301742000 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 10301742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21292637184).

10301742000 is an abundant number, since it is smaller than the sum of its proper divisors (32283532368).

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

10301742000 is a wasteful number, since it uses less digits than its factorization.

10301742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 10301742000 in words is "ten billion, three hundred one million, seven hundred forty-two thousand".