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1009788121 is a prime number
BaseRepresentation
bin111100001100000…
…010010011011001
32121101002112220001
4330030002103121
54032001204441
6244111133001
734011025456
oct7414022331
92541075801
101009788121
11478aa9841
12242214161
13131286484
149817882d
155d9b6731
hex3c3024d9

1009788121 has 2 divisors, whose sum is σ = 1009788122. Its totient is φ = 1009788120.

The previous prime is 1009788107. The next prime is 1009788161. The reversal of 1009788121 is 1218879001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 857611225 + 152176896 = 29285^2 + 12336^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009788121 - 25 = 1009788089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009788161) 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, 504894060 + 504894061.

It is an arithmetic number, because the mean of its divisors is an integer number (504894061).

Almost surely, 21009788121 is an apocalyptic number.

It is an amenable number.

1009788121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009788121 is an equidigital number, since it uses as much as digits as its factorization.

1009788121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 37.

The square root of 1009788121 is about 31777.1635140709. The cubic root of 1009788121 is about 1003.2521192552.

The spelling of 1009788121 in words is "one billion, nine million, seven hundred eighty-eight thousand, one hundred twenty-one".