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4122004133 = 1322310091051
BaseRepresentation
bin1111010110110000…
…1100101010100101
3101122021021111122202
43311230030222211
531420213113013
61521004504245
7204101312522
oct36554145245
911567244582
104122004133
111825844795
1297054b085
13508c9a900
142b1632149
15191d24858
hexf5b0caa5

4122004133 has 24 divisors (see below), whose sum is σ = 4666587840. Its totient is φ = 3632428800.

The previous prime is 4122004111. The next prime is 4122004151. The reversal of 4122004133 is 3314002214.

It is not a de Polignac number, because 4122004133 - 220 = 4120955557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122004333) 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 in 23 ways as a sum of consecutive naturals, for example, 3921458 + ... + 3922508.

It is an arithmetic number, because the mean of its divisors is an integer number (194441160).

Almost surely, 24122004133 is an apocalyptic number.

It is an amenable number.

4122004133 is a deficient number, since it is larger than the sum of its proper divisors (544583707).

4122004133 is a wasteful number, since it uses less digits than its factorization.

4122004133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4122004133 is about 64202.8358641579. The cubic root of 4122004133 is about 1603.3788145527.

Adding to 4122004133 its reverse (3314002214), we get a palindrome (7436006347).

The spelling of 4122004133 in words is "four billion, one hundred twenty-two million, four thousand, one hundred thirty-three".

Divisors: 1 13 23 169 299 1009 1051 3887 13117 13663 23207 24173 170521 177619 301691 314249 1060459 3921983 4085237 13785967 24390557 179217571 317077241 4122004133