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212001001200073 is a prime number
BaseRepresentation
bin110000001101000001010100…
…010111100101100111001001
31000210122002122021122101200001
4300031001110113211213021
5210241411022301400243
62030515525422443001
762440365304356631
oct6015012427454711
91023562567571601
10212001001200073
1161606135360628
121b93b26a433461
13913a7bb218c37
143a4cc905836c1
151979974d2ba4d
hexc0d0545e59c9

212001001200073 has 2 divisors, whose sum is σ = 212001001200074. Its totient is φ = 212001001200072.

The previous prime is 212001001200049. The next prime is 212001001200097. The reversal of 212001001200073 is 370002100100212.

It is a balanced prime because it is at equal distance from previous prime (212001001200049) and next prime (212001001200097).

It can be written as a sum of positive squares in only one way, i.e., 155861167206969 + 56139833993104 = 12484437^2 + 7492652^2 .

It is a cyclic number.

It is not a de Polignac number, because 212001001200073 - 225 = 212000967645641 is a prime.

It is a super-3 number, since 3×2120010012000733 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212001001200073.

It is not a weakly prime, because it can be changed into another prime (212001001204073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000500600036 + 106000500600037.

It is an arithmetic number, because the mean of its divisors is an integer number (106000500600037).

Almost surely, 2212001001200073 is an apocalyptic number.

It is an amenable number.

212001001200073 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001001200073 is an equidigital number, since it uses as much as digits as its factorization.

212001001200073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 212001001200073 its reverse (370002100100212), we get a palindrome (582003101300285).

The spelling of 212001001200073 in words is "two hundred twelve trillion, one billion, one million, two hundred thousand, seventy-three".