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10041214289 is a prime number
BaseRepresentation
bin10010101101000000…
…01100010101010001
3221220210022112111112
421112200030111101
5131031022324124
64340214023105
7503554625141
oct112640142521
927823275445
1010041214289
114293004a07
121b42947a95
13c403ba922
146b3810921
153db7ee90e
hex25680c551

10041214289 has 2 divisors, whose sum is σ = 10041214290. Its totient is φ = 10041214288.

The previous prime is 10041214283. The next prime is 10041214333. The reversal of 10041214289 is 98241214001.

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., 7871238400 + 2169975889 = 88720^2 + 46583^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10041214289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10041214283) 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, 5020607144 + 5020607145.

It is an arithmetic number, because the mean of its divisors is an integer number (5020607145).

Almost surely, 210041214289 is an apocalyptic number.

It is an amenable number.

10041214289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041214289 is an equidigital number, since it uses as much as digits as its factorization.

10041214289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10041214289 in words is "ten billion, forty-one million, two hundred fourteen thousand, two hundred eighty-nine".