Search a number
-
+
11287122 = 2371122221
BaseRepresentation
bin101011000011…
…101001010010
3210020110000120
4223003221102
510342141442
61041531110
7164640030
oct53035122
923213016
1011287122
11640a200
123943a96
132452692
1416db550
15ece4ec
hexac3a52

11287122 has 48 divisors (see below), whose sum is σ = 28370496. Its totient is φ = 2930400.

The previous prime is 11287117. The next prime is 11287127. The reversal of 11287122 is 22178211.

It is an interprime number because it is at equal distance from previous prime (11287117) and next prime (11287127).

It is a super-3 number, since 3×112871223 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11287092 and 11287101.

It is not an unprimeable number, because it can be changed into a prime (11287127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3972 + ... + 6192.

It is an arithmetic number, because the mean of its divisors is an integer number (591052).

Almost surely, 211287122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11287122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185248).

11287122 is an abundant number, since it is smaller than the sum of its proper divisors (17083374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11287122 is a wasteful number, since it uses less digits than its factorization.

11287122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2244 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 11287122 is about 3359.6312297632. The cubic root of 11287122 is about 224.3164240862.

The spelling of 11287122 in words is "eleven million, two hundred eighty-seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2221 2541 4442 5082 6663 13326 15547 24431 31094 46641 48862 73293 93282 146586 171017 268741 342034 513051 537482 806223 1026102 1612446 1881187 3762374 5643561 11287122