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330120122118301 is a prime number
BaseRepresentation
bin100101100001111100001010…
…0100111001011000010011101
31121021212011201220121012122201
41023003320110213023002131
5321232142002230241201
63130035031313211501
7126351251241264604
oct11303702447130235
91537764656535581
10330120122118301
11962061807a3a09
12310375a8b60b91
131122826a117578
145b73c83436a3b
1528272ae1b1801
hex12c3e149cb09d

330120122118301 has 2 divisors, whose sum is σ = 330120122118302. Its totient is φ = 330120122118300.

The previous prime is 330120122118287. The next prime is 330120122118317. The reversal of 330120122118301 is 103811221021033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182042132305401 + 148077989812900 = 13492299^2 + 12168730^2 .

It is a cyclic number.

It is not a de Polignac number, because 330120122118301 - 225 = 330120088563869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330120122118301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330120122119301) 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, 165060061059150 + 165060061059151.

It is an arithmetic number, because the mean of its divisors is an integer number (165060061059151).

Almost surely, 2330120122118301 is an apocalyptic number.

It is an amenable number.

330120122118301 is a deficient number, since it is larger than the sum of its proper divisors (1).

330120122118301 is an equidigital number, since it uses as much as digits as its factorization.

330120122118301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 330120122118301 its reverse (103811221021033), we get a palindrome (433931343139334).

The spelling of 330120122118301 in words is "three hundred thirty trillion, one hundred twenty billion, one hundred twenty-two million, one hundred eighteen thousand, three hundred one".