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10080000000000 = 214325107
BaseRepresentation
bin1001001010101110111011…
…0100011100000000000000
31022200122020112100022211100
42102223232310130000000
52310122320000000000
633234404342414400
72060153540206020
oct222535664340000
938618215308740
1010080000000000
1132369a42400a7
1211696a3731400
13581703290328
1426bc35ca7a80
1512730d411a00
hex92aeed1c000

10080000000000 has 990 divisors, whose sum is σ = 41598729616808. Its totient is φ = 2304000000000.

The previous prime is 10079999999987. The next prime is 10080000000043. The reversal of 10080000000000 is 8001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10080000000000.

It is a congruent number.

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 65 ways as a sum of consecutive naturals, for example, 1439999999997 + ... + 1440000000003.

Almost surely, 210080000000000 is an apocalyptic number.

10080000000000 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 10080000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20799364808404).

10080000000000 is an abundant number, since it is smaller than the sum of its proper divisors (31518729616808).

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

10080000000000 is an frugal number, since it uses more digits than its factorization.

10080000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10080000000000 its reverse (8001), we get a palindrome (10080000008001).

It can be divided in two parts, 100 and 80000000000, that multiplied together give a cube (8000000000000 = 200003).

The spelling of 10080000000000 in words is "ten trillion, eighty billion", and thus it is an aban number and an uban number.