10271302000 has 80 divisors (see below), whose sum is σ = 25243455744. Its totient is φ = 4041120000.

The previous prime is 10271301977. The next prime is 10271302007. The reversal of 10271302000 is 20317201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271302007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79905 + ... + 164095.

Almost surely, 2^10271302000 is an apocalyptic number.

10271302000 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 10271302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621727872).

10271302000 is an abundant number, since it is smaller than the sum of its proper divisors (14972153744).

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

10271302000 is an equidigital number, since it uses as much as digits as its factorization.

10271302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84275 (or 84259 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 10271302000 its reverse (20317201), we get a palindrome (10291619201).

The spelling of 10271302000 in words is "ten billion, two hundred seventy-one million, three hundred two thousand".