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106981326409 is a prime number
BaseRepresentation
bin110001110100010010…
…1010111111001001001
3101020010201020110200111
41203220211113321021
53223044204421114
6121051353034321
710505045161546
oct1435045277111
9336121213614
10106981326409
1141409195a51
12188979b59a1
13a11bca7c09
14526c319bcd
152bb20b5bc4
hex18e8957e49

106981326409 has 2 divisors, whose sum is σ = 106981326410. Its totient is φ = 106981326408.

The previous prime is 106981326379. The next prime is 106981326427. The reversal of 106981326409 is 904623189601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106981326400 + 9 = 327080^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 106981326409 - 233 = 98391391817 is a prime.

It is a super-2 number, since 2×1069813264092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106981326449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53490663204 + 53490663205.

It is an arithmetic number, because the mean of its divisors is an integer number (53490663205).

Almost surely, 2106981326409 is an apocalyptic number.

It is an amenable number.

106981326409 is a deficient number, since it is larger than the sum of its proper divisors (1).

106981326409 is an equidigital number, since it uses as much as digits as its factorization.

106981326409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 106981326409 in words is "one hundred six billion, nine hundred eighty-one million, three hundred twenty-six thousand, four hundred nine".