Search a number
-
+
11123230320 = 2432590717033
BaseRepresentation
bin10100101101111111…
…10000011001110000
31001201012022122110100
422112333300121300
5140240021332240
65035425232400
7542433616626
oct122677603160
931635278410
1011123230320
114798856634
1221a5192700
1310836129b7
147773cb516
154517d1e30
hex296ff0670

11123230320 has 120 divisors (see below), whose sum is σ = 37398896496. Its totient is φ = 2962750464.

The previous prime is 11123230297. The next prime is 11123230331. The reversal of 11123230320 is 2303232111.

11123230320 is a `hidden beast` number, since 1 + 112 + 3 + 230 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11123230293 and 11123230302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644524 + ... + 661556.

Almost surely, 211123230320 is an apocalyptic number.

11123230320 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 11123230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699448248).

11123230320 is an abundant number, since it is smaller than the sum of its proper divisors (26275666176).

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

11123230320 is a wasteful number, since it uses less digits than its factorization.

11123230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17959 (or 17950 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11123230320 its reverse (2303232111), we get a palindrome (13426462431).

The spelling of 11123230320 in words is "eleven billion, one hundred twenty-three million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 907 1814 2721 3628 4535 5442 7256 8163 9070 10884 13605 14512 16326 17033 18140 21768 27210 32652 34066 36280 40815 43536 51099 54420 65304 68132 72560 81630 85165 102198 108840 130608 136264 153297 163260 170330 204396 217680 255495 272528 306594 326520 340660 408792 510990 613188 653040 681320 766485 817584 1021980 1226376 1362640 1532970 2043960 2452752 3065940 4087920 6131880 12263760 15448931 30897862 46346793 61795724 77244655 92693586 123591448 139040379 154489310 185387172 231733965 247182896 278080758 308978620 370774344 463467930 556161516 617957240 695201895 741548688 926935860 1112323032 1235914480 1390403790 1853871720 2224646064 2780807580 3707743440 5561615160 11123230320