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1001043212240 = 24512513040153
BaseRepresentation
bin11101001000100101101…
…00110011011111010000
310112200212102102002122102
432210102310303133100
5112400114030242430
62043512314055532
7132215532624101
oct16442264633720
93480772362572
101001043212240
113565a3883775
1214201341a5a8
13735234556a6
1436644c023a8
151b08d131345
hexe912d337d0

1001043212240 has 20 divisors (see below), whose sum is σ = 2327425468644. Its totient is φ = 400417284864.

The previous prime is 1001043212107. The next prime is 1001043212333. The reversal of 1001043212240 is 422123401001.

1001043212240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 235446211984 + 765597000256 = 485228^2 + 874984^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6256519997 + ... + 6256520156.

Almost surely, 21001043212240 is an apocalyptic number.

1001043212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001043212240 is an abundant number, since it is smaller than the sum of its proper divisors (1326382256404).

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

1001043212240 is a wasteful number, since it uses less digits than its factorization.

1001043212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513040166 (or 12513040160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1001043212240 its reverse (422123401001), we get a palindrome (1423166613241).

The spelling of 1001043212240 in words is "one trillion, one billion, forty-three million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12513040153 25026080306 50052160612 62565200765 100104321224 125130401530 200208642448 250260803060 500521606120 1001043212240