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1010101093 is a prime number
BaseRepresentation
bin111100001101001…
…110101101100101
32121101200110012121
4330031032231211
54032041213333
6244121545541
734013501101
oct7415165545
92541613177
101010101093
114791a29a1
122423452b1
13131365a71
149821a901
155da2932d
hex3c34eb65

1010101093 has 2 divisors, whose sum is σ = 1010101094. Its totient is φ = 1010101092.

The previous prime is 1010101091. The next prime is 1010101109. The reversal of 1010101093 is 3901010101.

It is a happy number.

It is an a-pointer prime, because the next prime (1010101109) can be obtained adding 1010101093 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 569395044 + 440706049 = 23862^2 + 20993^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010101093 - 21 = 1010101091 is a prime.

Together with 1010101091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010101091) 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, 505050546 + 505050547.

It is an arithmetic number, because the mean of its divisors is an integer number (505050547).

Almost surely, 21010101093 is an apocalyptic number.

It is an amenable number.

1010101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101093 is an equidigital number, since it uses as much as digits as its factorization.

1010101093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

The square root of 1010101093 is about 31782.0876123643. The cubic root of 1010101093 is about 1003.3557572965.

Adding to 1010101093 its reverse (3901010101), we get a palindrome (4911111194).

The spelling of 1010101093 in words is "one billion, ten million, one hundred one thousand, ninety-three".