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322240214000141 is a prime number
BaseRepresentation
bin100100101000100110110010…
…1011111001110001000001101
31120020221212022120021111110222
41021101031211133032020031
5314214040424241001031
63101203035523041125
7124606041621362003
oct11121154537161015
91506855276244428
10322240214000141
1193748342021aa8
123018438b8101a5
1310aa617776b128
14598071c3baa73
15273c31a300e7b
hex12513657ce20d

322240214000141 has 2 divisors, whose sum is σ = 322240214000142. Its totient is φ = 322240214000140.

The previous prime is 322240214000101. The next prime is 322240214000143. The reversal of 322240214000141 is 141000412042223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309635193374116 + 12605020626025 = 17596454^2 + 3550355^2 .

It is an emirp because it is prime and its reverse (141000412042223) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 322240214000141 - 218 = 322240213737997 is a prime.

Together with 322240214000143, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 322240214000141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (322240214000143) 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, 161120107000070 + 161120107000071.

It is an arithmetic number, because the mean of its divisors is an integer number (161120107000071).

Almost surely, 2322240214000141 is an apocalyptic number.

It is an amenable number.

322240214000141 is a deficient number, since it is larger than the sum of its proper divisors (1).

322240214000141 is an equidigital number, since it uses as much as digits as its factorization.

322240214000141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 322240214000141 its reverse (141000412042223), we get a palindrome (463240626042364).

The spelling of 322240214000141 in words is "three hundred twenty-two trillion, two hundred forty billion, two hundred fourteen million, one hundred forty-one", and thus it is an aban number.