Search a number
-
+
1004130100033 is a prime number
BaseRepresentation
bin11101001110010101101…
…00010110001101000001
310112222211112221020121221
432213022310112031001
5112422424301200113
62045142504515041
7132355165011004
oct16471264261501
93488745836557
101004130100033
1135793829a205
1214273517ba81
13738c5b3c408
1436858b8553b
151b1be13998d
hexe9cad16341

1004130100033 has 2 divisors, whose sum is σ = 1004130100034. Its totient is φ = 1004130100032.

The previous prime is 1004130100021. The next prime is 1004130100133. The reversal of 1004130100033 is 3300010314001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 786160635649 + 217969464384 = 886657^2 + 466872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1004130100033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004130100133) 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 as a sum of consecutive naturals, namely, 502065050016 + 502065050017.

It is an arithmetic number, because the mean of its divisors is an integer number (502065050017).

Almost surely, 21004130100033 is an apocalyptic number.

It is an amenable number.

1004130100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004130100033 is an equidigital number, since it uses as much as digits as its factorization.

1004130100033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1004130100033 its reverse (3300010314001), we get a palindrome (4304140414034).

The spelling of 1004130100033 in words is "one trillion, four billion, one hundred thirty million, one hundred thousand, thirty-three".