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768110141 is a prime number
BaseRepresentation
bin101101110010000…
…110111000111101
31222112100001000202
4231302012320331
53033114011031
6204115133245
725014554111
oct5562067075
91875301022
10768110141
1136463a577
121952a4225
13c3198956
1474027741
15476782cb
hex2dc86e3d

768110141 has 2 divisors, whose sum is σ = 768110142. Its totient is φ = 768110140.

The previous prime is 768110111. The next prime is 768110171. The reversal of 768110141 is 141011867.

It is a balanced prime because it is at equal distance from previous prime (768110111) and next prime (768110171).

It can be written as a sum of positive squares in only one way, i.e., 491553241 + 276556900 = 22171^2 + 16630^2 .

It is a cyclic number.

It is not a de Polignac number, because 768110141 - 210 = 768109117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (768110111) 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, 384055070 + 384055071.

It is an arithmetic number, because the mean of its divisors is an integer number (384055071).

Almost surely, 2768110141 is an apocalyptic number.

It is an amenable number.

768110141 is a deficient number, since it is larger than the sum of its proper divisors (1).

768110141 is an equidigital number, since it uses as much as digits as its factorization.

768110141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 29.

The square root of 768110141 is about 27714.8000353602. The cubic root of 768110141 is about 915.8151697179.

The spelling of 768110141 in words is "seven hundred sixty-eight million, one hundred ten thousand, one hundred forty-one".