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2122120201693 is a prime number
BaseRepresentation
bin11110111000011000001…
…110001000010111011101
321111212120012112212102011
4132320120032020113131
5234232100232423233
64302515532431221
7306214055043352
oct36703016102735
97455505485364
102122120201693
11748a93591908
122a3345918511
13125165a9074b
14749d5620629
153a30418b0cd
hex1ee183885dd

2122120201693 has 2 divisors, whose sum is σ = 2122120201694. Its totient is φ = 2122120201692.

The previous prime is 2122120201639. The next prime is 2122120201709. The reversal of 2122120201693 is 3961020212212.

Together with previous prime (2122120201639) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2001664699204 + 120455502489 = 1414802^2 + 347067^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122120201693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122120201193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061060100846 + 1061060100847.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060100847).

Almost surely, 22122120201693 is an apocalyptic number.

It is an amenable number.

2122120201693 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122120201693 is an equidigital number, since it uses as much as digits as its factorization.

2122120201693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 2122120201693 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred one thousand, six hundred ninety-three".