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1312100077 is a prime number
BaseRepresentation
bin100111000110101…
…0000111011101101
310101102221120221011
41032031100323231
510141344200302
6334110505221
744341444441
oct11615207355
93342846834
101312100077
11613712232
12307505211
1317bab36a2
14c6390821
157a2d05d7
hex4e350eed

1312100077 has 2 divisors, whose sum is σ = 1312100078. Its totient is φ = 1312100076.

The previous prime is 1312100047. The next prime is 1312100087. The reversal of 1312100077 is 7700012131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 933058116 + 379041961 = 30546^2 + 19469^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1312100077 is a prime.

It is a super-2 number, since 2×13121000772 = 3443213224126811858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312100047) 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, 656050038 + 656050039.

It is an arithmetic number, because the mean of its divisors is an integer number (656050039).

Almost surely, 21312100077 is an apocalyptic number.

It is an amenable number.

1312100077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312100077 is an equidigital number, since it uses as much as digits as its factorization.

1312100077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 1312100077 is about 36222.9219831863. The cubic root of 1312100077 is about 1094.7685692033.

The spelling of 1312100077 in words is "one billion, three hundred twelve million, one hundred thousand, seventy-seven".