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1077820001 is a prime number
BaseRepresentation
bin100000000111110…
…0011101001100001
32210010002221002022
41000033203221201
54201410220001
6254541231225
735465214236
oct10017435141
92703087068
101077820001
11503446135
12260b62515
131423b621b
14a320778d
156495411b
hex403e3a61

1077820001 has 2 divisors, whose sum is σ = 1077820002. Its totient is φ = 1077820000.

The previous prime is 1077819947. The next prime is 1077820063. The reversal of 1077820001 is 1000287701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 820249600 + 257570401 = 28640^2 + 16049^2 .

It is a cyclic number.

It is not a de Polignac number, because 1077820001 - 26 = 1077819937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1077820301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 538910000 + 538910001.

It is an arithmetic number, because the mean of its divisors is an integer number (538910001).

Almost surely, 21077820001 is an apocalyptic number.

It is an amenable number.

1077820001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1077820001 is an equidigital number, since it uses as much as digits as its factorization.

1077820001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 1077820001 is about 32830.1690674903. The cubic root of 1077820001 is about 1025.2947797016.

The spelling of 1077820001 in words is "one billion, seventy-seven million, eight hundred twenty thousand, one".