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3122201417 is a prime number
BaseRepresentation
bin1011101000011001…
…0000001101001001
322001120222021011112
42322012100031021
522343240421132
61233451340105
7140241163016
oct27206201511
98046867145
103122201417
111362446155
12731751635
133a9acc47a
1421893670d
15134181ab2
hexba190349

3122201417 has 2 divisors, whose sum is σ = 3122201418. Its totient is φ = 3122201416.

The previous prime is 3122201323. The next prime is 3122201431. The reversal of 3122201417 is 7141022213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3055436176 + 66765241 = 55276^2 + 8171^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122201417 - 212 = 3122197321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3122201392 and 3122201401.

It is not a weakly prime, because it can be changed into another prime (3122201717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561100708 + 1561100709.

It is an arithmetic number, because the mean of its divisors is an integer number (1561100709).

Almost surely, 23122201417 is an apocalyptic number.

It is an amenable number.

3122201417 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122201417 is an equidigital number, since it uses as much as digits as its factorization.

3122201417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 3122201417 is about 55876.6625434984. The cubic root of 3122201417 is about 1461.5723064219.

The spelling of 3122201417 in words is "three billion, one hundred twenty-two million, two hundred one thousand, four hundred seventeen".