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11324412200 = 23521272112113
BaseRepresentation
bin10101000101111110…
…01101000100101000
31002020012212202010002
422202333031010220
5141143022142300
65111413242132
7550425626003
oct124277150450
932205782102
1011324412200
114891376552
122240633348
1310b61c1c2a
14795dda53a
154642c15d5
hex2a2fcd128

11324412200 has 96 divisors (see below), whose sum is σ = 26674959360. Its totient is φ = 4470681600.

The previous prime is 11324412199. The next prime is 11324412221. The reversal of 11324412200 is 221442311.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5358344 + ... + 5360456.

It is an arithmetic number, because the mean of its divisors is an integer number (277864160).

Almost surely, 211324412200 is an apocalyptic number.

11324412200 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 11324412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337479680).

11324412200 is an abundant number, since it is smaller than the sum of its proper divisors (15350547160).

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

11324412200 is a wasteful number, since it uses less digits than its factorization.

11324412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11324412200 its reverse (221442311), we get a palindrome (11545854511).

The spelling of 11324412200 in words is "eleven billion, three hundred twenty-four million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 211 254 422 508 635 844 1016 1055 1270 1688 2110 2113 2540 3175 4220 4226 5080 5275 6350 8440 8452 10550 10565 12700 16904 21100 21130 25400 26797 42200 42260 52825 53594 84520 105650 107188 133985 211300 214376 267970 268351 422600 445843 535940 536702 669925 891686 1071880 1073404 1339850 1341755 1783372 2146808 2229215 2679700 2683510 3566744 4458430 5359400 5367020 6708775 8916860 10734040 11146075 13417550 17833720 22292150 26835100 44584300 53670200 56622061 89168600 113244122 226488244 283110305 452976488 566220610 1132441220 1415551525 2264882440 2831103050 5662206100 11324412200