Search a number
-
+
1004334231321 = 3412399188041
BaseRepresentation
bin11101001110101101111…
…11000010111100011001
310120000100210001012010000
432213112333002330121
5112423334030400241
62045215040043213
7132363224052651
oct16472677027431
93500323035100
101004334231321
11357a32544053
12142791603509
1373929211c65
1436877d21361
151b1d200ceb6
hexe9d6fc2f19

1004334231321 has 10 divisors (see below), whose sum is σ = 1500301753082. Its totient is φ = 669556154160.

The previous prime is 1004334231287. The next prime is 1004334231401. The reversal of 1004334231321 is 1231324334001.

It is a happy number.

1004334231321 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 3 + 342 + 313 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 775084791321 + 229249440000 = 880389^2 + 478800^2 .

It is a de Polignac number, because none of the positive numbers 2k-1004334231321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004336231321) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6199593940 + ... + 6199594101.

Almost surely, 21004334231321 is an apocalyptic number.

It is an amenable number.

1004334231321 is a deficient number, since it is larger than the sum of its proper divisors (495967521761).

1004334231321 is an equidigital number, since it uses as much as digits as its factorization.

1004334231321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12399188053 (or 12399188044 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1004334231321 its reverse (1231324334001), we get a palindrome (2235658565322).

The spelling of 1004334231321 in words is "one trillion, four billion, three hundred thirty-four million, two hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 12399188041 37197564123 111592692369 334778077107 1004334231321