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10240223318617 is a prime number
BaseRepresentation
bin1001010100000011110011…
…0111111001001001011001
31100020221210202210020101011
42111000330313321021121
52320233434132143432
633440143232253521
72104555165016635
oct225007467711131
940227722706334
1010240223318617
1132989441128a6
12119475a0a12a1
1359385888a036
142758b530ddc5
1512b5897b2847
hex9503cdf9259

10240223318617 has 2 divisors, whose sum is σ = 10240223318618. Its totient is φ = 10240223318616.

The previous prime is 10240223318579. The next prime is 10240223318621. The reversal of 10240223318617 is 71681332204201.

10240223318617 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., 10073996689936 + 166226628681 = 3173956^2 + 407709^2 .

It is a cyclic number.

It is not a de Polignac number, because 10240223318617 - 227 = 10240089100889 is a prime.

It is a super-3 number, since 3×102402233186173 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10240223318617.

It is not a weakly prime, because it can be changed into another prime (10240223318687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5120111659308 + 5120111659309.

It is an arithmetic number, because the mean of its divisors is an integer number (5120111659309).

Almost surely, 210240223318617 is an apocalyptic number.

It is an amenable number.

10240223318617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10240223318617 is an equidigital number, since it uses as much as digits as its factorization.

10240223318617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 10240223318617 in words is "ten trillion, two hundred forty billion, two hundred twenty-three million, three hundred eighteen thousand, six hundred seventeen".