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1010242000000 = 27561743691
BaseRepresentation
bin11101011001101110001…
…11011001010010000000
310120120121111112221012101
432230313013121102000
5113022433423000000
62052033200040144
7132662511213232
oct16546707312200
93516544487171
101010242000000
1135a4942aa102
12143960003054
137435b15727c
1436c787a2252
151b42a9c7e6a
hexeb371d9480

1010242000000 has 448 divisors, whose sum is σ = 2729580685920. Its totient is φ = 370944000000.

The previous prime is 1010241999979. The next prime is 1010242000007. The reversal of 1010242000000 is 2420101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1010242000007) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1461999655 + ... + 1462000345.

Almost surely, 21010242000000 is an apocalyptic number.

1010242000000 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 1010242000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364790342960).

1010242000000 is an abundant number, since it is smaller than the sum of its proper divisors (1719338685920).

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

1010242000000 is an frugal number, since it uses more digits than its factorization.

1010242000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1010242000000 its reverse (2420101), we get a palindrome (1010244420101).

The spelling of 1010242000000 in words is "one trillion, ten billion, two hundred forty-two million", and thus it is an aban number.