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12202110017 is a prime number
BaseRepresentation
bin10110101110100110…
…10110110001000001
31011111101102102011122
423113103112301001
5144442220010032
65334445322025
7611244136526
oct132723266101
934441372148
1012202110017
1151a1855949
122446566315
1311c5caa356
1483a7cd14d
154b6395012
hex2d74d6c41

12202110017 has 2 divisors, whose sum is σ = 12202110018. Its totient is φ = 12202110016.

The previous prime is 12202110013. The next prime is 12202110059. The reversal of 12202110017 is 71001120221.

12202110017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7382418241 + 4819691776 = 85921^2 + 69424^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202110017 - 22 = 12202110013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202109977 and 12202110004.

It is not a weakly prime, because it can be changed into another prime (12202110013) 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, 6101055008 + 6101055009.

It is an arithmetic number, because the mean of its divisors is an integer number (6101055009).

Almost surely, 212202110017 is an apocalyptic number.

It is an amenable number.

12202110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202110017 is an equidigital number, since it uses as much as digits as its factorization.

12202110017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 12202110017 its reverse (71001120221), we get a palindrome (83203230238).

The spelling of 12202110017 in words is "twelve billion, two hundred two million, one hundred ten thousand, seventeen".