Search a number
-
+
10039491313 is a prime number
BaseRepresentation
bin10010101100110011…
…00111101011110001
3221220200002000000121
421112121213223301
5131030102210223
64340113050241
7503534160655
oct112631475361
927820060017
1010039491313
114292038465
121b42256981
13c3cc36607
146b34c2a65
153db5ae15d
hex256667af1

10039491313 has 2 divisors, whose sum is σ = 10039491314. Its totient is φ = 10039491312.

The previous prime is 10039491277. The next prime is 10039491323. The reversal of 10039491313 is 31319493001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9910600704 + 128890609 = 99552^2 + 11353^2 .

It is a cyclic number.

It is not a de Polignac number, because 10039491313 - 213 = 10039483121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10039491323) 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, 5019745656 + 5019745657.

It is an arithmetic number, because the mean of its divisors is an integer number (5019745657).

Almost surely, 210039491313 is an apocalyptic number.

It is an amenable number.

10039491313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10039491313 is an equidigital number, since it uses as much as digits as its factorization.

10039491313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 10039491313 in words is "ten billion, thirty-nine million, four hundred ninety-one thousand, three hundred thirteen".