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10645054601 is a prime number
BaseRepresentation
bin10011110100111111…
…01010010010001001
31000110212112210200112
421322133222102021
5133300113221401
64520144244105
7524536320416
oct117237522211
930425483615
1010645054601
114572946095
122091010635
13100852c49c
1472dab710d
1542482a3bb
hex27a7ea489

10645054601 has 2 divisors, whose sum is σ = 10645054602. Its totient is φ = 10645054600.

The previous prime is 10645054597. The next prime is 10645054619.

10645054601 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10465494601 + 179560000 = 102301^2 + 13400^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10645054601 - 22 = 10645054597 is a prime.

It is a super-2 number, since 2×106450546012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10645051601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5322527300 + 5322527301.

It is an arithmetic number, because the mean of its divisors is an integer number (5322527301).

Almost surely, 210645054601 is an apocalyptic number.

It is an amenable number.

10645054601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10645054601 is an equidigital number, since it uses as much as digits as its factorization.

10645054601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 32.

It can be divided in two parts, 106450 and 54601, that added together give a 5-th power (161051 = 115).

The spelling of 10645054601 in words is "ten billion, six hundred forty-five million, fifty-four thousand, six hundred one".