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200206527044801 is a prime number
BaseRepresentation
bin101101100001011000110110…
…111011010001110011000001
3222020212120001002200222021212
4231201120312323101303001
5202220140431410413201
61545445335300455505
760112305243243614
oct5541306673216301
9866776032628255
10200206527044801
1158879125163952
121a5554489aa595
13879351890aa34
14376209490a17b
151822c70557abb
hexb61636ed1cc1

200206527044801 has 2 divisors, whose sum is σ = 200206527044802. Its totient is φ = 200206527044800.

The previous prime is 200206527044749. The next prime is 200206527044809. The reversal of 200206527044801 is 108440725602002.

It is a happy number.

200206527044801 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., 157553206080400 + 42653320964401 = 12552020^2 + 6530951^2 .

It is a cyclic number.

It is not a de Polignac number, because 200206527044801 - 26 = 200206527044737 is a prime.

It is a super-2 number, since 2×2002065270448012 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (200206527044809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100103263522400 + 100103263522401.

It is an arithmetic number, because the mean of its divisors is an integer number (100103263522401).

Almost surely, 2200206527044801 is an apocalyptic number.

It is an amenable number.

200206527044801 is a deficient number, since it is larger than the sum of its proper divisors (1).

200206527044801 is an equidigital number, since it uses as much as digits as its factorization.

200206527044801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 200206527044801 in words is "two hundred trillion, two hundred six billion, five hundred twenty-seven million, forty-four thousand, eight hundred one".