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30772000901 is a prime number
BaseRepresentation
bin11100101010001001…
…110111100010000101
32221102112221121112002
4130222021313202011
51001010113012101
622045250435045
72136362456225
oct345211674205
987375847462
1030772000901
1112060aa0804
125b69592a85
132b952c3975
1416bcba6085
15c017bed6b
hex72a277885

30772000901 has 2 divisors, whose sum is σ = 30772000902. Its totient is φ = 30772000900.

The previous prime is 30772000879. The next prime is 30772000967. The reversal of 30772000901 is 10900027703.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20137029025 + 10634971876 = 141905^2 + 103126^2 .

It is a cyclic number.

It is not a de Polignac number, because 30772000901 - 226 = 30704892037 is a prime.

It is a super-2 number, since 2×307720009012 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30772000201) 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, 15386000450 + 15386000451.

It is an arithmetic number, because the mean of its divisors is an integer number (15386000451).

Almost surely, 230772000901 is an apocalyptic number.

It is an amenable number.

30772000901 is a deficient number, since it is larger than the sum of its proper divisors (1).

30772000901 is an equidigital number, since it uses as much as digits as its factorization.

30772000901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 29.

The spelling of 30772000901 in words is "thirty billion, seven hundred seventy-two million, nine hundred one", and thus it is an aban number.