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1001034421413 = 313412089299683
BaseRepresentation
bin11101001000100100100…
…11010001010010100101
310112200211210212110220020
432210102103101102211
5112400104302441123
62043511401425353
7132215365121625
oct16442223212245
93480753773806
101001034421413
1135659991a024
1214201049b259
1373521698310
1436643994885
151b08c4967e3
hexe9124d14a5

1001034421413 has 32 divisors (see below), whose sum is σ = 1473150645120. Its totient is φ = 600706575360.

The previous prime is 1001034421381. The next prime is 1001034421421. The reversal of 1001034421413 is 3141244301001.

It is not a de Polignac number, because 1001034421413 - 25 = 1001034421381 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001034421463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3190470 + ... + 3490152.

It is an arithmetic number, because the mean of its divisors is an integer number (46035957660).

Almost surely, 21001034421413 is an apocalyptic number.

1001034421413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001034421413 is a deficient number, since it is larger than the sum of its proper divisors (472116223707).

1001034421413 is a wasteful number, since it uses less digits than its factorization.

1001034421413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301829.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1001034421413 its reverse (3141244301001), we get a palindrome (4142278722414).

The spelling of 1001034421413 in words is "one trillion, one billion, thirty-four million, four hundred twenty-one thousand, four hundred thirteen".

Divisors: 1 3 13 39 41 123 533 1599 2089 6267 27157 81471 85649 256947 299683 899049 1113437 3340311 3895879 11687637 12287003 36861009 159731039 479193117 626037787 1878113361 8138491231 24415473693 25667549267 77002647801 333678140471 1001034421413