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1278106031 is a prime number
BaseRepresentation
bin100110000101110…
…0101100110101111
310022001222111212102
41030023211212233
510104143343111
6330454125315
743446502436
oct11413454657
93261874772
101278106031
115a6503a84
122b805083b
13174a40777
14c1a6211d
157731813b
hex4c2e59af

1278106031 has 2 divisors, whose sum is σ = 1278106032. Its totient is φ = 1278106030.

The previous prime is 1278106013. The next prime is 1278106033. The reversal of 1278106031 is 1306018721.

Together with previous prime (1278106013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1278106031 - 218 = 1277843887 is a prime.

It is a super-2 number, since 2×12781060312 = 3267110052957145922, which contains 22 as substring.

Together with 1278106033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1278105985 and 1278106003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1278106033) 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, 639053015 + 639053016.

It is an arithmetic number, because the mean of its divisors is an integer number (639053016).

Almost surely, 21278106031 is an apocalyptic number.

1278106031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1278106031 is an equidigital number, since it uses as much as digits as its factorization.

1278106031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1278106031 is about 35750.6088199907. The cubic root of 1278106031 is about 1085.2312590790.

The spelling of 1278106031 in words is "one billion, two hundred seventy-eight million, one hundred six thousand, thirty-one".