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999817216001 is a prime number
BaseRepresentation
bin11101000110010011100…
…00000000000000000001
310112120200222111000222022
432203021300000000001
5112340111201403001
62043150520451225
7132143255054042
oct16431160000001
93476628430868
10999817216001
1135602483163a
12141930919b15
137338945b726
143656a0668c9
151b01a6ad11b
hexe8c9c00001

999817216001 has 2 divisors, whose sum is σ = 999817216002. Its totient is φ = 999817216000.

The previous prime is 999817215961. The next prime is 999817216061. The reversal of 999817216001 is 100612718999.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 818491137025 + 181326078976 = 904705^2 + 425824^2 .

It is a cyclic number.

It is not a de Polignac number, because 999817216001 - 218 = 999816953857 is a prime.

It is not a weakly prime, because it can be changed into another prime (999817216061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 499908608000 + 499908608001.

It is an arithmetic number, because the mean of its divisors is an integer number (499908608001).

It is a Proth number, since it is equal to 238375 ⋅ 222 + 1 and 238375 < 222.

Almost surely, 2999817216001 is an apocalyptic number.

It is an amenable number.

999817216001 is a deficient number, since it is larger than the sum of its proper divisors (1).

999817216001 is an equidigital number, since it uses as much as digits as its factorization.

999817216001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 489888, while the sum is 53.

The spelling of 999817216001 in words is "nine hundred ninety-nine billion, eight hundred seventeen million, two hundred sixteen thousand, one".