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1000240013 = 2814577789
BaseRepresentation
bin111011100111100…
…111001110001101
32120201010110100102
4323213213032031
54022030140023
6243130340445
733533620433
oct7347471615
92521113312
101000240013
11473678143
1223ab8a725
1312c2c24c6
1496bb0d53
155cc2c628
hex3b9e738d

1000240013 has 8 divisors (see below), whose sum is σ = 1006125240. Its totient is φ = 994371840.

The previous prime is 1000240001. The next prime is 1000240049. The reversal of 1000240013 is 3100420001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 447660964 + 552579049 = 21158^2 + 23507^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000240013 - 26 = 1000239949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000239976 and 1000240003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000240613) 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 7 ways as a sum of consecutive naturals, for example, 124523 + ... + 132311.

It is an arithmetic number, because the mean of its divisors is an integer number (125765655).

Almost surely, 21000240013 is an apocalyptic number.

It is an amenable number.

1000240013 is a deficient number, since it is larger than the sum of its proper divisors (5885227).

1000240013 is an equidigital number, since it uses as much as digits as its factorization.

1000240013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8527.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1000240013 is about 31626.5713127427. The cubic root of 1000240013 is about 1000.0799979335.

Adding to 1000240013 its reverse (3100420001), we get a palindrome (4100660014).

The spelling of 1000240013 in words is "one billion, two hundred forty thousand, thirteen".

Divisors: 1 281 457 7789 128417 2188709 3559573 1000240013