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421112133 = 321337891093
BaseRepresentation
bin11001000110011…
…010100101000101
31002100101201020200
4121012122211011
51330301042013
6105441521113
713302252111
oct3106324505
91070351220
10421112133
111a6785862
12b9043199
1369323ca0
143dcdc741
1526e83e73
hex1919a945

421112133 has 48 divisors (see below), whose sum is σ = 680949360. Its totient is φ = 249080832.

The previous prime is 421112123. The next prime is 421112141. The reversal of 421112133 is 331211124.

421112133 is a `hidden beast` number, since 421 + 112 + 133 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16378209 + 404733924 = 4047^2 + 20118^2 .

It is not a de Polignac number, because 421112133 - 217 = 420981061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421112123) 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 47 ways as a sum of consecutive naturals, for example, 384735 + ... + 385827.

It is an arithmetic number, because the mean of its divisors is an integer number (14186445).

Almost surely, 2421112133 is an apocalyptic number.

It is an amenable number.

421112133 is a deficient number, since it is larger than the sum of its proper divisors (259837227).

421112133 is a wasteful number, since it uses less digits than its factorization.

421112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1235 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 421112133 is about 20521.0168607698. The cubic root of 421112133 is about 749.5476579037.

Adding to 421112133 its reverse (331211124), we get a palindrome (752323257).

It can be divided in two parts, 42111 and 2133, that added together give a palindrome (44244).

The spelling of 421112133 in words is "four hundred twenty-one million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 13 37 39 89 111 117 267 333 481 801 1093 1157 1443 3279 3293 3471 4329 9837 9879 10413 14209 29637 40441 42627 42809 97277 121323 127881 128427 291831 363969 385281 525733 875493 1264601 1577199 3599249 3793803 4731597 10797747 11381409 32393241 46790237 140370711 421112133