Search a number
-
+
10315534457 is a prime number
BaseRepresentation
bin10011001101101101…
…01001000001111001
3222121220111110000202
421212312221001321
5132111234100312
64423333411545
7513425411324
oct114666510171
928556443022
1010315534457
114413939798
121bba799bb5
13c85196c57
146dc01b7bb
154059399c2
hex266da9079

10315534457 has 2 divisors, whose sum is σ = 10315534458. Its totient is φ = 10315534456.

The previous prime is 10315534423. The next prime is 10315534459. The reversal of 10315534457 is 75443551301.

It is a happy number.

10315534457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10254397696 + 61136761 = 101264^2 + 7819^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10315534457 is a prime.

It is a super-2 number, since 2×103155344572 (a number of 21 digits) contains 22 as substring.

Together with 10315534459, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10315534457.

It is not a weakly prime, because it can be changed into another prime (10315534459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5157767228 + 5157767229.

It is an arithmetic number, because the mean of its divisors is an integer number (5157767229).

Almost surely, 210315534457 is an apocalyptic number.

It is an amenable number.

10315534457 is a deficient number, since it is larger than the sum of its proper divisors (1).

10315534457 is an equidigital number, since it uses as much as digits as its factorization.

10315534457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126000, while the sum is 38.

The spelling of 10315534457 in words is "ten billion, three hundred fifteen million, five hundred thirty-four thousand, four hundred fifty-seven".