Search a number
-
+
10314413429 is a prime number
BaseRepresentation
bin10011001101100100…
…10111010101110101
3222121211101111021012
421212302113111311
5132110442212204
64423253402005
7513413032115
oct114662272565
928554344235
1010314413429
114413243521
121bba339305
13c84b93918
146dbc09045
154057b776e
hex266c97575

10314413429 has 2 divisors, whose sum is σ = 10314413430. Its totient is φ = 10314413428.

The previous prime is 10314413387. The next prime is 10314413449. The reversal of 10314413429 is 92431441301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5303189329 + 5011224100 = 72823^2 + 70790^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10314413429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10314413395 and 10314413404.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10314413449) 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, 5157206714 + 5157206715.

It is an arithmetic number, because the mean of its divisors is an integer number (5157206715).

Almost surely, 210314413429 is an apocalyptic number.

It is an amenable number.

10314413429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10314413429 is an equidigital number, since it uses as much as digits as its factorization.

10314413429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 10314413429 in words is "ten billion, three hundred fourteen million, four hundred thirteen thousand, four hundred twenty-nine".