Search a number
-
+
4112124093 = 3271137160373
BaseRepresentation
bin1111010100011010…
…0000100010111101
3101121120200112210100
43311012200202331
531410200432333
61520013031313
7203621322660
oct36506404275
911546615710
104112124093
111820206770
12969185539
13506c1b82c
142b01bd6d7
15191022213
hexf51a08bd

4112124093 has 48 divisors (see below), whose sum is σ = 7605576576. Its totient is φ = 2078421120.

The previous prime is 4112124089. The next prime is 4112124113. The reversal of 4112124093 is 3904212114.

It is a happy number.

4112124093 is a `hidden beast` number, since 41 + 1 + 212 + 409 + 3 = 666.

4112124093 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4112124093 - 22 = 4112124089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112124043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54546 + ... + 105827.

It is an arithmetic number, because the mean of its divisors is an integer number (158449512).

Almost surely, 24112124093 is an apocalyptic number.

It is an amenable number.

4112124093 is a deficient number, since it is larger than the sum of its proper divisors (3493452483).

4112124093 is a wasteful number, since it uses less digits than its factorization.

4112124093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160434 (or 160431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4112124093 is about 64125.8457488086. The cubic root of 4112124093 is about 1602.0967423704.

The spelling of 4112124093 in words is "four billion, one hundred twelve million, one hundred twenty-four thousand, ninety-three".

Divisors: 1 3 7 9 11 21 33 37 63 77 99 111 231 259 333 407 693 777 1221 2331 2849 3663 8547 25641 160373 481119 1122611 1443357 1764103 3367833 5292309 5933801 10103499 12348721 15876927 17801403 37046163 41536607 53404209 65271811 111138489 124609821 195815433 373829463 456902677 587446299 1370708031 4112124093