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978685100201 is a prime number
BaseRepresentation
bin11100011110111100010…
…11011000000010101001
310110120011020200022210202
432033132023120002221
5112013321341201301
62025333550121545
7130464505044014
oct16173613300251
93416136608722
10978685100201
11348070252226
121398137b02b5
137139c36a0b3
143552368237b
151a6d036566b
hexe3de2d80a9

978685100201 has 2 divisors, whose sum is σ = 978685100202. Its totient is φ = 978685100200.

The previous prime is 978685100189. The next prime is 978685100203. The reversal of 978685100201 is 102001586879.

978685100201 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., 642402250000 + 336282850201 = 801500^2 + 579899^2 .

It is a cyclic number.

It is not a de Polignac number, because 978685100201 - 230 = 977611358377 is a prime.

It is a Sophie Germain prime.

Together with 978685100203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (978685100203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 489342550100 + 489342550101.

It is an arithmetic number, because the mean of its divisors is an integer number (489342550101).

Almost surely, 2978685100201 is an apocalyptic number.

It is an amenable number.

978685100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

978685100201 is an equidigital number, since it uses as much as digits as its factorization.

978685100201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 47.

The spelling of 978685100201 in words is "nine hundred seventy-eight billion, six hundred eighty-five million, one hundred thousand, two hundred one".