Base | Representation |
---|---|
bin | 11110000000011110011… |
… | …11111111001000000000 |
3 | 10122120022111201020120222 |
4 | 33000033033333020000 |
5 | 113343041242000000 |
6 | 2105353520522212 |
7 | 134330221253324 |
oct | 17001717771000 |
9 | 3576274636528 |
10 | 1031048000000 |
11 | 3682a0797927 |
12 | 1479a7a80368 |
13 | 762c5805a85 |
14 | 37c8db35984 |
15 | 1bc473a3a85 |
hex | f00f3ff200 |
1031048000000 has 210 divisors, whose sum is σ = 2582262708333. Its totient is φ = 411270400000.
The previous prime is 1031047999987. The next prime is 1031048000027. The reversal of 1031048000000 is 8401301.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 4 ways, for example, as 175822553344 + 855225446656 = 419312^2 + 924784^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=718000.
It is a Duffinian 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 20 ways as a sum of consecutive naturals, for example, 2871999821 + ... + 2872000179.
Almost surely, 21031048000000 is an apocalyptic number.
1031048000000 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 1031048000000
1031048000000 is an abundant number, since it is smaller than the sum of its proper divisors (1551214708333).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1031048000000 is an frugal number, since it uses more digits than its factorization.
1031048000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 766 (or 366 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 17.
The spelling of 1031048000000 in words is "one trillion, thirty-one billion, forty-eight million", and thus it is an aban number and an uban number.
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