Search a number
-
+
106853349797 is a prime number
BaseRepresentation
bin110001110000011110…
…1001011100110100101
3101012210210102120202222
41203200331023212211
53222313424143142
6121030542042125
710501632326105
oct1434075134645
9335723376688
10106853349797
1141352a26257
1218860b79345
13a0cb61a3cc
145259325205
152ba5c36bd2
hex18e0f4b9a5

106853349797 has 2 divisors, whose sum is σ = 106853349798. Its totient is φ = 106853349796.

The previous prime is 106853349761. The next prime is 106853349853. The reversal of 106853349797 is 797943358601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61249320196 + 45604029601 = 247486^2 + 213551^2 .

It is a cyclic number.

It is not a de Polignac number, because 106853349797 - 210 = 106853348773 is a prime.

It is a super-2 number, since 2×1068533497972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106853342797) 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, 53426674898 + 53426674899.

It is an arithmetic number, because the mean of its divisors is an integer number (53426674899).

Almost surely, 2106853349797 is an apocalyptic number.

It is an amenable number.

106853349797 is a deficient number, since it is larger than the sum of its proper divisors (1).

106853349797 is an equidigital number, since it uses as much as digits as its factorization.

106853349797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 106853349797 in words is "one hundred six billion, eight hundred fifty-three million, three hundred forty-nine thousand, seven hundred ninety-seven".