10242334300032 has 128 divisors (see below), whose sum is σ = 30232776499200. Its totient is φ = 3413697523200.

The previous prime is 10242334300021. The next prime is 10242334300043. The reversal of 10242334300032 is 23000343324201.

10242334300032 is a `hidden beast` number, since 1 + 0 + 24 + 2 + 334 + 300 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10242334300021) and next prime (10242334300043).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10242334300032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10242334299969 and 10242334300005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29017407 + ... + 29368257.

It is an arithmetic number, because the mean of its divisors is an integer number (236193566400).

Almost surely, 2^{10242334300032} is an apocalyptic number.

10242334300032 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 10242334300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116388249600).

10242334300032 is an abundant number, since it is smaller than the sum of its proper divisors (19990442199168).

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

10242334300032 is an equidigital number, since it uses as much as digits as its factorization.

10242334300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359321 (or 359303 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 10242334300032 its reverse (23000343324201), we get a palindrome (33242677624233).

The spelling of 10242334300032 in words is "ten trillion, two hundred forty-two billion, three hundred thirty-four million, three hundred thousand, thirty-two".