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12100220017 is a prime number
BaseRepresentation
bin10110100010011101…
…01011010001110001
31011020021200212100221
423101032223101301
5144240124020032
65320405413041
7605566113244
oct132116532161
934207625327
1012100220017
11514a293436
12241840a181
1311aab54502
1482b06925b
154ac46a597
hex2d13ab471

12100220017 has 2 divisors, whose sum is σ = 12100220018. Its totient is φ = 12100220016.

The previous prime is 12100219981. The next prime is 12100220039. The reversal of 12100220017 is 71002200121.

12100220017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12100220001 + 16 = 110001^2 + 4^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12100220017 is a prime.

It is not a weakly prime, because it can be changed into another prime (12100220057) 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, 6050110008 + 6050110009.

It is an arithmetic number, because the mean of its divisors is an integer number (6050110009).

Almost surely, 212100220017 is an apocalyptic number.

It is an amenable number.

12100220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100220017 is an equidigital number, since it uses as much as digits as its factorization.

12100220017 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 16.

Subtracting from 12100220017 its sum of digits (16), we obtain a square (12100220001 = 1100012).

Adding to 12100220017 its reverse (71002200121), we get a palindrome (83102420138).

The spelling of 12100220017 in words is "twelve billion, one hundred million, two hundred twenty thousand, seventeen".