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10342279809 = 3210923112
BaseRepresentation
bin10011010000111001…
…01010101010000001
3222200202211020202100
421220130222222001
5132140110423214
64430130541013
7514201633161
oct115034525201
928622736670
1010342279809
114427a46994
122007737769
13c8a89c6c4
147017c05a1
15407e6e309
hex26872aa81

10342279809 has 27 divisors (see below), whose sum is σ = 15125795139. Its totient is φ = 6809631120.

The previous prime is 10342279771. The next prime is 10342279813. The reversal of 10342279809 is 90897224301.

The square root of 10342279809 is 101697.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7208519409 + 3133760400 = 84903^2 + 55980^2 .

It is not a de Polignac number, because 10342279809 - 229 = 9805408897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10342278809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33254764 + ... + 33255074.

Almost surely, 210342279809 is an apocalyptic number.

10342279809 is the 101697-th square number.

10342279809 is the 50849-th centered octagonal number.

It is an amenable number.

10342279809 is a deficient number, since it is larger than the sum of its proper divisors (4783515330).

10342279809 is an frugal number, since it uses more digits than its factorization.

10342279809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10342279809 in words is "ten billion, three hundred forty-two million, two hundred seventy-nine thousand, eight hundred nine".

Divisors: 1 3 9 109 311 327 933 981 2799 11881 33899 35643 96721 101697 106929 290163 305091 870489 3694991 10542589 11084973 31627767 33254919 94883301 1149142201 3447426603 10342279809