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200212210002001 is a prime number
BaseRepresentation
bin101101100001011110001001…
…101010000010100001010001
3222020220002201011012010000011
4231201132021222002201101
5202220234101230031001
61545452115230154521
760112566130501141
oct5541361152024121
9866802634163004
10200212210002001
115888058102a79a
121a556574052a41
138793c130bc5c2
14376247358a921
151822ea4416d51
hexb61789a82851

200212210002001 has 2 divisors, whose sum is σ = 200212210002002. Its totient is φ = 200212210002000.

The previous prime is 200212210001987. The next prime is 200212210002023. The reversal of 200212210002001 is 100200012212002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107641641752401 + 92570568249600 = 10375049^2 + 9621360^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212210002001 - 229 = 200211673131089 is a prime.

It is not a weakly prime, because it can be changed into another prime (200212210002041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106105001000 + 100106105001001.

It is an arithmetic number, because the mean of its divisors is an integer number (100106105001001).

Almost surely, 2200212210002001 is an apocalyptic number.

It is an amenable number.

200212210002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212210002001 is an equidigital number, since it uses as much as digits as its factorization.

200212210002001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200212210002001 its reverse (100200012212002), we get a palindrome (300412222214003).

The spelling of 200212210002001 in words is "two hundred trillion, two hundred twelve billion, two hundred ten million, two thousand, one".