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2206112670017 is a prime number
BaseRepresentation
bin100000000110100110100…
…011111110000101000001
321210220100210012100100022
4200012212203332011001
5242121104320420032
64405250230503225
7315246346202324
oct40064643760501
97726323170308
102206112670017
117806750a8493
122b7686804b15
131300600aaa49
1478ac270c7bb
153c5bcde3512
hex201a68fe141

2206112670017 has 2 divisors, whose sum is σ = 2206112670018. Its totient is φ = 2206112670016.

The previous prime is 2206112669989. The next prime is 2206112670029. The reversal of 2206112670017 is 7100762116022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1135469261056 + 1070643408961 = 1065584^2 + 1034719^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2206112670017 is a prime.

It is a super-2 number, since 2×22061126700172 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2206112670067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1103056335008 + 1103056335009.

It is an arithmetic number, because the mean of its divisors is an integer number (1103056335009).

Almost surely, 22206112670017 is an apocalyptic number.

It is an amenable number.

2206112670017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2206112670017 is an equidigital number, since it uses as much as digits as its factorization.

2206112670017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 35.

Adding to 2206112670017 its reverse (7100762116022), we get a palindrome (9306874786039).

The spelling of 2206112670017 in words is "two trillion, two hundred six billion, one hundred twelve million, six hundred seventy thousand, seventeen".