Search a number
-
+
24132011200 = 2652111371137
BaseRepresentation
bin10110011110011000…
…010100010011000000
32022021210122012000121
4112132120110103000
5343410243324300
615030332430024
71513004465533
oct263630242300
968253565017
1024132011200
11a263989210
124815918314
13237776a38b
14124cda0a1a
159638ba81a
hex59e6144c0

24132011200 has 84 divisors (see below), whose sum is σ = 64778043672. Its totient is φ = 8775270400.

The previous prime is 24132011191. The next prime is 24132011219. The reversal of 24132011200 is 211023142.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667969 + ... + 703168.

Almost surely, 224132011200 is an apocalyptic number.

24132011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24132011200 is an abundant number, since it is smaller than the sum of its proper divisors (40646032472).

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

24132011200 is a wasteful number, since it uses less digits than its factorization.

24132011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371170 (or 1371155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 24132011200 its reverse (211023142), we get a palindrome (24343034342).

The spelling of 24132011200 in words is "twenty-four billion, one hundred thirty-two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 1371137 2742274 5484548 6855685 10969096 13711370 15082507 21938192 27422740 30165014 34278425 43876384 54845480 60330028 68556850 75412535 87752768 109690960 120660056 137113700 150825070 219381920 241320112 274227400 301650140 377062675 438763840 482640224 548454800 603300280 754125350 965280448 1096909600 1206600560 1508250700 2193819200 2413201120 3016501400 4826402240 6033002800 12066005600 24132011200