Search a number
-
+
10270056431 is a prime number
BaseRepresentation
bin10011001000010010…
…01001111111101111
3222111201220220220102
421210021021333233
5132013113301211
64415030541315
7512334016325
oct114411117757
928451826812
1010270056431
1143a01a7448
121ba750783b
13c78932b8b
146d5d7dd15
15401954a3b
hex264249fef

10270056431 has 2 divisors, whose sum is σ = 10270056432. Its totient is φ = 10270056430.

The previous prime is 10270056389. The next prime is 10270056457. The reversal of 10270056431 is 13465007201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10270056431 - 214 = 10270040047 is a prime.

It is a super-2 number, since 2×102700564312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 10270056394 and 10270056403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10270056331) 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, 5135028215 + 5135028216.

It is an arithmetic number, because the mean of its divisors is an integer number (5135028216).

Almost surely, 210270056431 is an apocalyptic number.

10270056431 is a deficient number, since it is larger than the sum of its proper divisors (1).

10270056431 is an equidigital number, since it uses as much as digits as its factorization.

10270056431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 10270056431 in words is "ten billion, two hundred seventy million, fifty-six thousand, four hundred thirty-one".