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1005404313041 = 6715006034523
BaseRepresentation
bin11101010000101101100…
…01000101010111010001
310120010010100120222021022
432220112301011113101
5112433032001004131
62045513143405225
7132431566440512
oct16502661052721
93503110528238
101005404313041
11358431584307
12142a2ba53815
1373a69b18bcb
143693a0b2a09
151b245e3437b
hexea16c455d1

1005404313041 has 4 divisors (see below), whose sum is σ = 1020410347632. Its totient is φ = 990398278452.

The previous prime is 1005404313031. The next prime is 1005404313083. The reversal of 1005404313041 is 1403134045001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005404313041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005404313041.

It is not an unprimeable number, because it can be changed into a prime (1005404313031) 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 3 ways as a sum of consecutive naturals, for example, 7503017195 + ... + 7503017328.

It is an arithmetic number, because the mean of its divisors is an integer number (255102586908).

Almost surely, 21005404313041 is an apocalyptic number.

It is an amenable number.

1005404313041 is a deficient number, since it is larger than the sum of its proper divisors (15006034591).

1005404313041 is an equidigital number, since it uses as much as digits as its factorization.

1005404313041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15006034590.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1005404313041 its reverse (1403134045001), we get a palindrome (2408538358042).

The spelling of 1005404313041 in words is "one trillion, five billion, four hundred four million, three hundred thirteen thousand, forty-one".

Divisors: 1 67 15006034523 1005404313041