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1009999997953 is a prime number
BaseRepresentation
bin11101011001010001011…
…00001110110000000001
310120112222122011221210121
432230220230032300001
5113021434444413303
62051553153100241
7132653512222012
oct16545054166001
93515878157717
101009999997953
1135a37a739411
121438b2b57681
137431cc850ab
1436c545a9009
151b4146239bd
hexeb28b0ec01

1009999997953 has 2 divisors, whose sum is σ = 1009999997954. Its totient is φ = 1009999997952.

The previous prime is 1009999997891. The next prime is 1009999997987. The reversal of 1009999997953 is 3597999999001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 857387106304 + 152612891649 = 925952^2 + 390657^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1009999997953 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009999997753) 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, 504999998976 + 504999998977.

It is an arithmetic number, because the mean of its divisors is an integer number (504999998977).

Almost surely, 21009999997953 is an apocalyptic number.

It is an amenable number.

1009999997953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009999997953 is an equidigital number, since it uses as much as digits as its factorization.

1009999997953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 502211745, while the sum is 79.

The spelling of 1009999997953 in words is "one trillion, nine billion, nine hundred ninety-nine million, nine hundred ninety-seven thousand, nine hundred fifty-three".