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1009954129 is a prime number
BaseRepresentation
bin111100001100101…
…010110101010001
32121101101222121111
4330030222311101
54032022013004
6244114453321
734012316452
oct7414526521
92541358544
101009954129
11479102538
12242294241
13131313bc2
14981bd129
155d9eaa04
hex3c32ad51

1009954129 has 2 divisors, whose sum is σ = 1009954130. Its totient is φ = 1009954128.

The previous prime is 1009954097. The next prime is 1009954157. The reversal of 1009954129 is 9214599001.

1009954129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1009777729 + 176400 = 31777^2 + 420^2 .

It is an emirp because it is prime and its reverse (9214599001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1009954129 - 25 = 1009954097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1009954091 and 1009954100.

It is not a weakly prime, because it can be changed into another prime (1009952129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504977064 + 504977065.

It is an arithmetic number, because the mean of its divisors is an integer number (504977065).

Almost surely, 21009954129 is an apocalyptic number.

It is an amenable number.

1009954129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009954129 is an equidigital number, since it uses as much as digits as its factorization.

1009954129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 40.

The square root of 1009954129 is about 31779.7754712018. The cubic root of 1009954129 is about 1003.3070940724.

The spelling of 1009954129 in words is "one billion, nine million, nine hundred fifty-four thousand, one hundred twenty-nine".