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10414531362353 is a prime number
BaseRepresentation
bin1001011110001101001001…
…1100010011111000110001
31100212121201121010022111212
42113203102130103320301
52331112430012043403
634052211502445505
72123265536652236
oct227432234237061
940777647108455
1010414531362353
1133558614a1a98
1212024a5593895
135a71171bb911
142800cd1a578d
15130d8c4304d8
hex978d2713e31

10414531362353 has 2 divisors, whose sum is σ = 10414531362354. Its totient is φ = 10414531362352.

The previous prime is 10414531362331. The next prime is 10414531362371. The reversal of 10414531362353 is 35326313541401.

10414531362353 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., 8595410194849 + 1819121167504 = 2931793^2 + 1348748^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414531362353 - 28 = 10414531362097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10414531362353.

It is not a weakly prime, because it can be changed into another prime (10414531362373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5207265681176 + 5207265681177.

It is an arithmetic number, because the mean of its divisors is an integer number (5207265681177).

Almost surely, 210414531362353 is an apocalyptic number.

It is an amenable number.

10414531362353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414531362353 is an equidigital number, since it uses as much as digits as its factorization.

10414531362353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 10414531362353 in words is "ten trillion, four hundred fourteen billion, five hundred thirty-one million, three hundred sixty-two thousand, three hundred fifty-three".