Search a number
-
+
1004132314001 = 5318945892717
BaseRepresentation
bin11101001110010101111…
…00110010101110010001
310112222211201002201121202
432213022330302232101
5112422430333022001
62045143024200545
7132355222561505
oct16471274625621
93488751081552
101004132314001
11357939571633
12142735a69155
13738c643605b
14368591a0305
151b1be42596b
hexe9caf32b91

1004132314001 has 4 divisors (see below), whose sum is σ = 1023078206772. Its totient is φ = 985186421232.

The previous prime is 1004132313991. The next prime is 1004132314033.

1004132314001 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 673714281601 + 330418032400 = 820801^2 + 574820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1004132314001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1004132316001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9472946306 + ... + 9472946411.

It is an arithmetic number, because the mean of its divisors is an integer number (255769551693).

Almost surely, 21004132314001 is an apocalyptic number.

It is an amenable number.

1004132314001 is a deficient number, since it is larger than the sum of its proper divisors (18945892771).

1004132314001 is an equidigital number, since it uses as much as digits as its factorization.

1004132314001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18945892770.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 1004132314001 in words is "one trillion, four billion, one hundred thirty-two million, three hundred fourteen thousand, one".

Divisors: 1 53 18945892717 1004132314001