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200212002018001 is a prime number
BaseRepresentation
bin101101100001011101111101…
…010000101001001011010001
3222020220002011122211102121001
4231201131331100221023101
5202220233140004034001
61545452042440302001
760112561023611611
oct5541357520511321
9866802148742531
10200212002018001
1158880484694296
121a556516471901
138793babc9b24c
143762453acaa41
151822e91032001
hexb6177d4292d1

200212002018001 has 2 divisors, whose sum is σ = 200212002018002. Its totient is φ = 200212002018000.

The previous prime is 200212002017987. The next prime is 200212002018019. The reversal of 200212002018001 is 100810200212002.

200212002018001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181547355550401 + 18664646467600 = 13473951^2 + 4320260^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212002018001 - 247 = 59474513662673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200212002018001.

It is not a weakly prime, because it can be changed into another prime (200212002048001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106001009000 + 100106001009001.

It is an arithmetic number, because the mean of its divisors is an integer number (100106001009001).

Almost surely, 2200212002018001 is an apocalyptic number.

It is an amenable number.

200212002018001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212002018001 is an equidigital number, since it uses as much as digits as its factorization.

200212002018001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

The spelling of 200212002018001 in words is "two hundred trillion, two hundred twelve billion, two million, eighteen thousand, one".