10302444201132 has 144 divisors (see below), whose sum is σ = 26769461427072. Its totient is φ = 3339486658560.

The previous prime is 10302444201053. The next prime is 10302444201163. The reversal of 10302444201132 is 23110244420301.

10302444201132 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 444 + 201 + 13 + 2 = 666.

It is a super-2 number, since 2×10302444201132² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302444201096 and 10302444201105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167524093 + ... + 167585579.

It is an arithmetic number, because the mean of its divisors is an integer number (185899037688).

Almost surely, 2^{10302444201132} is an apocalyptic number.

10302444201132 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 10302444201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384730713536).

10302444201132 is an abundant number, since it is smaller than the sum of its proper divisors (16467017225940).

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

10302444201132 is a wasteful number, since it uses less digits than its factorization.

10302444201132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62328 (or 62323 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10302444201132 its reverse (23110244420301), we get a palindrome (33412688621433).

The spelling of 10302444201132 in words is "ten trillion, three hundred two billion, four hundred forty-four million, two hundred one thousand, one hundred thirty-two".