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106853349853 is a prime number
BaseRepresentation
bin110001110000011110…
…1001011100111011101
3101012210210102120212001
41203200331023213131
53222313424143403
6121030542042301
710501632326215
oct1434075134735
9335723376761
10106853349853
1141352a262a8
1218860b79391
13a0cb61a443
145259325245
152ba5c36c1d
hex18e0f4b9dd

106853349853 has 2 divisors, whose sum is σ = 106853349854. Its totient is φ = 106853349852.

The previous prime is 106853349797. The next prime is 106853349877. The reversal of 106853349853 is 358943358601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93536882244 + 13316467609 = 305838^2 + 115397^2 .

It is a cyclic number.

It is not a de Polignac number, because 106853349853 - 221 = 106851252701 is a prime.

It is a super-2 number, since 2×1068533498532 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106853349794 and 106853349803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106853349553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53426674926 + 53426674927.

It is an arithmetic number, because the mean of its divisors is an integer number (53426674927).

Almost surely, 2106853349853 is an apocalyptic number.

It is an amenable number.

106853349853 is a deficient number, since it is larger than the sum of its proper divisors (1).

106853349853 is an equidigital number, since it uses as much as digits as its factorization.

106853349853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 106853349853 in words is "one hundred six billion, eight hundred fifty-three million, three hundred forty-nine thousand, eight hundred fifty-three".