Search a number
-
+
200201212101029 is a prime number
BaseRepresentation
bin101101100001010011111010…
…001000011000000110100101
3222020212001022200200212002112
4231201103322020120012211
5202220044040244213104
61545443100035050405
760112026445046666
oct5541237210300645
9866761280625075
10200201212101029
1158876947aa5a37
121a554404a40a05
138792b7c74b4a9
143761b0caa536d
151822a5db3e86e
hexb614fa2181a5

200201212101029 has 2 divisors, whose sum is σ = 200201212101030. Its totient is φ = 200201212101028.

The previous prime is 200201212100909. The next prime is 200201212101073. The reversal of 200201212101029 is 920101212102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152273255409025 + 47927956692004 = 12339905^2 + 6923002^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200201212101029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200201212100995 and 200201212101013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200201212101329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100606050514 + 100100606050515.

It is an arithmetic number, because the mean of its divisors is an integer number (100100606050515).

Almost surely, 2200201212101029 is an apocalyptic number.

It is an amenable number.

200201212101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201212101029 is an equidigital number, since it uses as much as digits as its factorization.

200201212101029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 200201212101029 in words is "two hundred trillion, two hundred one billion, two hundred twelve million, one hundred one thousand, twenty-nine".