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2205022050053 is a prime number
BaseRepresentation
bin100000000101100101100…
…011100101011100000101
321210210112210000010000022
4200011211203211130011
5242111341121100203
64404550111024525
7315210334114304
oct40054543453405
97723483003008
102205022050053
1178016550a579
122b742150b145
1312cc181626a4
1478a1b93243b
153c5572b1a38
hex201658e5705

2205022050053 has 2 divisors, whose sum is σ = 2205022050054. Its totient is φ = 2205022050052.

The previous prime is 2205022050047. The next prime is 2205022050059. The reversal of 2205022050053 is 3500502205022.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2205022050047) and next prime (2205022050059).

It can be written as a sum of positive squares in only one way, i.e., 1635590325604 + 569431724449 = 1278902^2 + 754607^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205022050053 - 212 = 2205022045957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2205022050059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102511025026 + 1102511025027.

It is an arithmetic number, because the mean of its divisors is an integer number (1102511025027).

Almost surely, 22205022050053 is an apocalyptic number.

It is an amenable number.

2205022050053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205022050053 is an equidigital number, since it uses as much as digits as its factorization.

2205022050053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6000, while the sum is 26.

Adding to 2205022050053 its reverse (3500502205022), we get a palindrome (5705524255075).

The spelling of 2205022050053 in words is "two trillion, two hundred five billion, twenty-two million, fifty thousand, fifty-three".