Search a number
-
+
1001303133007 is a prime number
BaseRepresentation
bin11101001001000100101…
…00010100101101001111
310112201112112111102220111
432210202110110231033
5112401132100224012
62043554201100451
7132225140125432
oct16444224245517
93481475442814
101001303133007
11356717573021
12142086487727
137356525c868
143666b541819
151b0a5d74ba7
hexe922514b4f

1001303133007 has 2 divisors, whose sum is σ = 1001303133008. Its totient is φ = 1001303133006.

The previous prime is 1001303132971. The next prime is 1001303133011. The reversal of 1001303133007 is 7003313031001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001303133007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001303133097) 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, 500651566503 + 500651566504.

It is an arithmetic number, because the mean of its divisors is an integer number (500651566504).

Almost surely, 21001303133007 is an apocalyptic number.

1001303133007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001303133007 is an equidigital number, since it uses as much as digits as its factorization.

1001303133007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 22.

Adding to 1001303133007 its reverse (7003313031001), we get a palindrome (8004616164008).

The spelling of 1001303133007 in words is "one trillion, one billion, three hundred three million, one hundred thirty-three thousand, seven".