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106213483217 is a prime number
BaseRepresentation
bin110001011101011010…
…0010010001011010001
3101011011012101222211202
41202322310102023101
53220011122430332
6120443243320545
710450032465632
oct1427264221321
9334135358752
10106213483217
1141054818aa6
1218702820155
13a028ba392a
1451d8361889
152b69991a62
hex18bad122d1

106213483217 has 2 divisors, whose sum is σ = 106213483218. Its totient is φ = 106213483216.

The previous prime is 106213483169. The next prime is 106213483219. The reversal of 106213483217 is 712384312601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105676356241 + 537126976 = 325079^2 + 23176^2 .

It is a cyclic number.

It is not a de Polignac number, because 106213483217 - 28 = 106213482961 is a prime.

It is a super-2 number, since 2×1062134832172 (a number of 23 digits) contains 22 as substring.

Together with 106213483219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106213483219) 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, 53106741608 + 53106741609.

It is an arithmetic number, because the mean of its divisors is an integer number (53106741609).

Almost surely, 2106213483217 is an apocalyptic number.

It is an amenable number.

106213483217 is a deficient number, since it is larger than the sum of its proper divisors (1).

106213483217 is an equidigital number, since it uses as much as digits as its factorization.

106213483217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 38.

Adding to 106213483217 its reverse (712384312601), we get a palindrome (818597795818).

The spelling of 106213483217 in words is "one hundred six billion, two hundred thirteen million, four hundred eighty-three thousand, two hundred seventeen".