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10440031198217 is a prime number
BaseRepresentation
bin1001011111101100001001…
…0110011101110000001001
31100222001112201120012020012
42113323002112131300021
52332022140441320332
634112030100441305
72125160463665105
oct227730226356011
940861481505205
1010440031198217
113365657493105
1212074213a9235
135a964c1505aa
1428142baa0905
15131880e373b2
hex97ec259dc09

10440031198217 has 2 divisors, whose sum is σ = 10440031198218. Its totient is φ = 10440031198216.

The previous prime is 10440031198211. The next prime is 10440031198273. The reversal of 10440031198217 is 71289113004401.

10440031198217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9736016227081 + 704014971136 = 3120259^2 + 839056^2 .

It is a cyclic number.

It is not a de Polignac number, because 10440031198217 - 218 = 10440030936073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10440031198211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5220015599108 + 5220015599109.

It is an arithmetic number, because the mean of its divisors is an integer number (5220015599109).

Almost surely, 210440031198217 is an apocalyptic number.

It is an amenable number.

10440031198217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10440031198217 is an equidigital number, since it uses as much as digits as its factorization.

10440031198217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 10440031198217 in words is "ten trillion, four hundred forty billion, thirty-one million, one hundred ninety-eight thousand, two hundred seventeen".