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1031048000000 = 29563592
BaseRepresentation
bin11110000000011110011…
…11111111001000000000
310122120022111201020120222
433000033033333020000
5113343041242000000
62105353520522212
7134330221253324
oct17001717771000
93576274636528
101031048000000
113682a0797927
121479a7a80368
13762c5805a85
1437c8db35984
151bc473a3a85
hexf00f3ff200

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.