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428119101 = 36587269
BaseRepresentation
bin11001100001001…
…001010000111101
31002211120201000000
4121201021100331
51334044302401
6110252024513
713415644434
oct3141112075
91084521000
10428119101
111aa731243
12bb462139
136a908417
1440c0411b
15278ba186
hex1984943d

428119101 has 14 divisors (see below), whose sum is σ = 641886110. Its totient is φ = 285412248.

The previous prime is 428119057. The next prime is 428119123. The reversal of 428119101 is 101911824.

It can be written as a sum of positive squares in only one way, i.e., 395970201 + 32148900 = 19899^2 + 5670^2 .

It is not a de Polignac number, because 428119101 - 26 = 428119037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428119501) 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 in 13 ways as a sum of consecutive naturals, for example, 292906 + ... + 294363.

Almost surely, 2428119101 is an apocalyptic number.

It is an amenable number.

428119101 is a deficient number, since it is larger than the sum of its proper divisors (213767009).

428119101 is an frugal number, since it uses more digits than its factorization.

428119101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587287 (or 587272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 428119101 is about 20691.0391474184. The cubic root of 428119101 is about 753.6821012574.

The spelling of 428119101 in words is "four hundred twenty-eight million, one hundred nineteen thousand, one hundred one".

Divisors: 1 3 9 27 81 243 729 587269 1761807 5285421 15856263 47568789 142706367 428119101