Search a number
-
+
10309440961 is a prime number
BaseRepresentation
bin10011001100111110…
…11001010111000001
3222121111000212022201
421212133121113001
5132103204102321
64422555033201
7513322542121
oct114637312701
928544025281
1010309440961
114410457646
121bb873b801
13c83b42531
146db2b2c81
15405134291
hex2667d95c1

10309440961 has 2 divisors, whose sum is σ = 10309440962. Its totient is φ = 10309440960.

The previous prime is 10309440959. The next prime is 10309440979. The reversal of 10309440961 is 16904490301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6167746225 + 4141694736 = 78535^2 + 64356^2 .

It is a cyclic number.

It is not a de Polignac number, because 10309440961 - 21 = 10309440959 is a prime.

Together with 10309440959, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10309440961.

It is not a weakly prime, because it can be changed into another prime (10309440901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5154720480 + 5154720481.

It is an arithmetic number, because the mean of its divisors is an integer number (5154720481).

Almost surely, 210309440961 is an apocalyptic number.

It is an amenable number.

10309440961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10309440961 is an equidigital number, since it uses as much as digits as its factorization.

10309440961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 10309440961 in words is "ten billion, three hundred nine million, four hundred forty thousand, nine hundred sixty-one".