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2122210202117 is a prime number
BaseRepresentation
bin11110111000011101100…
…101011101001000000101
321111212210110220100210012
4132320131211131020011
5234232241302431432
64302532505440005
7306216230040305
oct36703545351005
97455713810705
102122210202117
1174902a373525
122a336baa0005
1312517b612935
1474a0356b605
153a30c017cb2
hex1ee1d95d205

2122210202117 has 2 divisors, whose sum is σ = 2122210202118. Its totient is φ = 2122210202116.

The previous prime is 2122210202039. The next prime is 2122210202153. The reversal of 2122210202117 is 7112020122212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2116067718241 + 6142483876 = 1454671^2 + 78374^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122210202117 - 212 = 2122210198021 is a prime.

It is a super-2 number, since 2×21222102021172 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122210202092 and 2122210202101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122210202617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061105101058 + 1061105101059.

It is an arithmetic number, because the mean of its divisors is an integer number (1061105101059).

Almost surely, 22122210202117 is an apocalyptic number.

It is an amenable number.

2122210202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122210202117 is an equidigital number, since it uses as much as digits as its factorization.

2122210202117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 2122210202117 its reverse (7112020122212), we get a palindrome (9234230324329).

The spelling of 2122210202117 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, two hundred two thousand, one hundred seventeen".