Search a number
-
+
1300144319 is a prime number
BaseRepresentation
bin100110101111110…
…1010000010111111
310100121110011201022
41031133222002333
510130314104234
6333002334355
744135021135
oct11537520277
93317404638
101300144319
11607996741
123034ba3bb
13179488886
14c495b755
157921ce2e
hex4d7ea0bf

1300144319 has 2 divisors, whose sum is σ = 1300144320. Its totient is φ = 1300144318.

The previous prime is 1300144297. The next prime is 1300144337. The reversal of 1300144319 is 9134410031.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1300144319 is a prime.

It is a super-2 number, since 2×13001443192 = 3380750500455947522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1300144379) 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, 650072159 + 650072160.

It is an arithmetic number, because the mean of its divisors is an integer number (650072160).

Almost surely, 21300144319 is an apocalyptic number.

1300144319 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300144319 is an equidigital number, since it uses as much as digits as its factorization.

1300144319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1300144319 is about 36057.5140435388. The cubic root of 1300144319 is about 1091.4332684204.

The spelling of 1300144319 in words is "one billion, three hundred million, one hundred forty-four thousand, three hundred nineteen".