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1004104304431 = 3834378359879
BaseRepresentation
bin11101001110010010100…
…01111100011100101111
310112222202202101200201021
432213021101330130233
5112422401200220211
62045140143555011
7132354432523114
oct16471121743457
93488682350637
101004104304431
11357924780628
121427285bba67
13738c06aa047
143685558c90b
151b1bbc41771
hexe9c947c72f

1004104304431 has 8 divisors (see below), whose sum is σ = 1006765793280. Its totient is φ = 1001443023672.

The previous prime is 1004104304419. The next prime is 1004104304501. The reversal of 1004104304431 is 1344034014001.

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 1004104304431 - 215 = 1004104271663 is a prime.

It is a super-2 number, since 2×10041043044312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004104304396 and 1004104304405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004104302431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16738950 + ... + 16798828.

It is an arithmetic number, because the mean of its divisors is an integer number (125845724160).

Almost surely, 21004104304431 is an apocalyptic number.

1004104304431 is a deficient number, since it is larger than the sum of its proper divisors (2661488849).

1004104304431 is an equidigital number, since it uses as much as digits as its factorization.

1004104304431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104045.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1004104304431 its reverse (1344034014001), we get a palindrome (2348138318432).

The spelling of 1004104304431 in words is "one trillion, four billion, one hundred four million, three hundred four thousand, four hundred thirty-one".

Divisors: 1 383 43783 59879 16768889 22933657 2621682257 1004104304431