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2201020000141 is a prime number
BaseRepresentation
bin100000000001110111000…
…000111110011110001101
321210102012212102220121111
4200001313000332132031
5242030142110001031
64403045025132021
7315006220212304
oct40016700763615
97712185386544
102201020000141
117794a1456206
122b66a518a011
1312c72aca3c11
147875c20743b
153c3c0c841b1
hex2007703e78d

2201020000141 has 2 divisors, whose sum is σ = 2201020000142. Its totient is φ = 2201020000140.

The previous prime is 2201020000103. The next prime is 2201020000169. The reversal of 2201020000141 is 1410000201022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2200982912041 + 37088100 = 1483571^2 + 6090^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201020000141 - 221 = 2201017902989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201020000241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100510000070 + 1100510000071.

It is an arithmetic number, because the mean of its divisors is an integer number (1100510000071).

Almost surely, 22201020000141 is an apocalyptic number.

It is an amenable number.

2201020000141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201020000141 is an equidigital number, since it uses as much as digits as its factorization.

2201020000141 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2201020000141 its reverse (1410000201022), we get a palindrome (3611020201163).

The spelling of 2201020000141 in words is "two trillion, two hundred one billion, twenty million, one hundred forty-one", and thus it is an aban number.