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122848147001 is a prime number
BaseRepresentation
bin111001001101001010…
…0011111011000111001
3102202002111110110200102
41302122110133120321
54003043111201001
6132234034045145
711606202006656
oct1623224373071
9382074413612
10122848147001
1148110638118
121b9857197b5
13b77a2a1458
145d35700c2d
1532e0050e6b
hex1c9a51f639

122848147001 has 2 divisors, whose sum is σ = 122848147002. Its totient is φ = 122848147000.

The previous prime is 122848146977. The next prime is 122848147021. The reversal of 122848147001 is 100741848221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93366913600 + 29481233401 = 305560^2 + 171701^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122848147001 is a prime.

It is not a weakly prime, because it can be changed into another prime (122848147021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61424073500 + 61424073501.

It is an arithmetic number, because the mean of its divisors is an integer number (61424073501).

Almost surely, 2122848147001 is an apocalyptic number.

It is an amenable number.

122848147001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122848147001 is an equidigital number, since it uses as much as digits as its factorization.

122848147001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28672, while the sum is 38.

The spelling of 122848147001 in words is "one hundred twenty-two billion, eight hundred forty-eight million, one hundred forty-seven thousand, one".