10301141000 has 64 divisors (see below), whose sum is σ = 24170168880. Its totient is φ = 4109260800.

The previous prime is 10301140999. The next prime is 10301141047. The reversal of 10301141000 is 14110301.

10301141000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 323928004 + 9977212996 = 17998^2 + 99886^2 .

It is a super-2 number, since 2×10301141000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 359192 + ... + 386808.

Almost surely, 2^10301141000 is an apocalyptic number.

10301141000 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 10301141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12085084440).

10301141000 is an abundant number, since it is smaller than the sum of its proper divisors (13869027880).

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

10301141000 is a wasteful number, since it uses less digits than its factorization.

10301141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28011 (or 27997 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10301141000 its reverse (14110301), we get a palindrome (10315251301).

The spelling of 10301141000 in words is "ten billion, three hundred one million, one hundred forty-one thousand".