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10445454401 is a prime number
BaseRepresentation
bin10011011101001100…
…01111110001000001
3222221221222001200112
421232212033301001
5132343014020101
64444254201105
7516563616554
oct115646176101
928857861615
1010445454401
114480206548
1220361b3195
13ca6085165
1471139a69b
1541204e6bb
hex26e98fc41

10445454401 has 2 divisors, whose sum is σ = 10445454402. Its totient is φ = 10445454400.

The previous prime is 10445454389. The next prime is 10445454427.

10445454401 is nontrivially palindromic in base 10.

10445454401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10434826801 + 10627600 = 102151^2 + 3260^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10445454401 - 218 = 10445192257 is a prime.

It is not a weakly prime, because it can be changed into another prime (10445454451) 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, 5222727200 + 5222727201.

It is an arithmetic number, because the mean of its divisors is an integer number (5222727201).

Almost surely, 210445454401 is an apocalyptic number.

It is an amenable number.

10445454401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10445454401 is an equidigital number, since it uses as much as digits as its factorization.

10445454401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 10445454401 in words is "ten billion, four hundred forty-five million, four hundred fifty-four thousand, four hundred one".