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106299185033 is a prime number
BaseRepresentation
bin110001011111111101…
…1001101011110001001
3101011101011200002122002
41202333323031132021
53220200042410113
6120455544240345
710452123110306
oct1427773153611
9334334602562
10106299185033
1141099134048
12187274700b5
13a04087c372
1452058b00ad
152b7226ec58
hex18bfecd789

106299185033 has 2 divisors, whose sum is σ = 106299185034. Its totient is φ = 106299185032.

The previous prime is 106299184997. The next prime is 106299185087. The reversal of 106299185033 is 330581992601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104101731904 + 2197453129 = 322648^2 + 46877^2 .

It is a cyclic number.

It is not a de Polignac number, because 106299185033 - 26 = 106299184969 is a prime.

It is a super-2 number, since 2×1062991850332 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106299115033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53149592516 + 53149592517.

It is an arithmetic number, because the mean of its divisors is an integer number (53149592517).

Almost surely, 2106299185033 is an apocalyptic number.

It is an amenable number.

106299185033 is a deficient number, since it is larger than the sum of its proper divisors (1).

106299185033 is an equidigital number, since it uses as much as digits as its factorization.

106299185033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 349920, while the sum is 47.

The spelling of 106299185033 in words is "one hundred six billion, two hundred ninety-nine million, one hundred eighty-five thousand, thirty-three".