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4201274330401 is a prime number
BaseRepresentation
bin111101001000101111011…
…101101100110100100001
3112212122020000212002002211
4331020233131230310201
51022313202212033101
612534012213242121
7612350331406111
oct75105735546441
915778200762084
104201274330401
11137a828918095
1257a29a333341
13246242135965
141074b277d041
157444124dc51
hex3d22f76cd21

4201274330401 has 2 divisors, whose sum is σ = 4201274330402. Its totient is φ = 4201274330400.

The previous prime is 4201274330399. The next prime is 4201274330413. The reversal of 4201274330401 is 1040334721024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4081212080401 + 120062250000 = 2020201^2 + 346500^2 .

It is a cyclic number.

It is not a de Polignac number, because 4201274330401 - 21 = 4201274330399 is a prime.

Together with 4201274330399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4201274330801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2100637165200 + 2100637165201.

It is an arithmetic number, because the mean of its divisors is an integer number (2100637165201).

Almost surely, 24201274330401 is an apocalyptic number.

It is an amenable number.

4201274330401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4201274330401 is an equidigital number, since it uses as much as digits as its factorization.

4201274330401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 4201274330401 in words is "four trillion, two hundred one billion, two hundred seventy-four million, three hundred thirty thousand, four hundred one".