Search a number
-
+
11123044140 = 22351383171811
BaseRepresentation
bin10100101101111110…
…00010111100101100
31001201011222012001210
422112333002330230
5140234444403030
65035421234420
7542432213055
oct122677027454
931634865053
1011123044140
11479873976a
1221a5102a10
131083579030
1477737d72c
15451796bb0
hex296fc2f2c

11123044140 has 96 divisors (see below), whose sum is σ = 33944553216. Its totient is φ = 2704976640.

The previous prime is 11123044123. The next prime is 11123044181. The reversal of 11123044140 is 4144032111.

It is a super-2 number, since 2×111230441402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21166 + ... + 150645.

It is an arithmetic number, because the mean of its divisors is an integer number (353589096).

Almost surely, 211123044140 is an apocalyptic number.

11123044140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123044140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972276608).

11123044140 is an abundant number, since it is smaller than the sum of its proper divisors (22821509076).

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

11123044140 is a wasteful number, since it uses less digits than its factorization.

11123044140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171919 (or 171917 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11123044140 its reverse (4144032111), we get a palindrome (15267076251).

The spelling of 11123044140 in words is "eleven billion, one hundred twenty-three million, forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 83 130 156 166 195 249 260 332 390 415 498 780 830 996 1079 1245 1660 2158 2490 3237 4316 4980 5395 6474 10790 12948 16185 21580 32370 64740 171811 343622 515433 687244 859055 1030866 1718110 2061732 2233543 2577165 3436220 4467086 5154330 6700629 8934172 10308660 11167715 13401258 14260313 22335430 26802516 28520626 33503145 42780939 44670860 57041252 67006290 71301565 85561878 134012580 142603130 171123756 185384069 213904695 285206260 370768138 427809390 556152207 741536276 855618780 926920345 1112304414 1853840690 2224608828 2780761035 3707681380 5561522070 11123044140