10031542682112 has 800 divisors, whose sum is σ = 34662091960320. Its totient is φ = 2829279559680.

The previous prime is 10031542682101. The next prime is 10031542682159. The reversal of 10031542682112 is 21128624513001.

10031542682112 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 15 + 426 + 8 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 8885333964 + ... + 8885335092.

Almost surely, 2^{10031542682112} is an apocalyptic number.

10031542682112 is a gapful number since it is divisible by the number (12) 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 10031542682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17331045980160).

10031542682112 is an abundant number, since it is smaller than the sum of its proper divisors (24630549278208).

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

10031542682112 is a wasteful number, since it uses less digits than its factorization.

10031542682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10031542682112 in words is "ten trillion, thirty-one billion, five hundred forty-two million, six hundred eighty-two thousand, one hundred twelve".