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2122312120417 is a prime number
BaseRepresentation
bin11110111000100011101…
…010001111100001100001
321111220001120200100102001
4132320203222033201201
5234232443400323132
64302550550124001
7306221605242226
oct36704352174141
97456046610361
102122312120417
11749081955225
122a339a050601
13125196778618
1474a12cdb94d
153a315e4ace7
hex1ee23a8f861

2122312120417 has 2 divisors, whose sum is σ = 2122312120418. Its totient is φ = 2122312120416.

The previous prime is 2122312120387. The next prime is 2122312120421. The reversal of 2122312120417 is 7140212132212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1845905366881 + 276406753536 = 1358641^2 + 525744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122312120417 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122312121417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061156060208 + 1061156060209.

It is an arithmetic number, because the mean of its divisors is an integer number (1061156060209).

Almost surely, 22122312120417 is an apocalyptic number.

It is an amenable number.

2122312120417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122312120417 is an equidigital number, since it uses as much as digits as its factorization.

2122312120417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 2122312120417 its reverse (7140212132212), we get a palindrome (9262524252629).

The spelling of 2122312120417 in words is "two trillion, one hundred twenty-two billion, three hundred twelve million, one hundred twenty thousand, four hundred seventeen".