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11324453200 = 24521131991259
BaseRepresentation
bin10101000101111110…
…10111000101010000
31002020012221211100121
422202333113011100
5141143030000300
65111414200024
7550426156354
oct124277270520
932205854317
1011324453200
1148913a4335
122240653014
1310b62077a8
1479600b464
154642cd81a
hex2a2fd7150

11324453200 has 120 divisors (see below), whose sum is σ = 27607608000. Its totient is φ = 4463585280.

The previous prime is 11324453197. The next prime is 11324453209. The reversal of 11324453200 is 235442311.

11324453200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324453209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8994171 + ... + 8995429.

It is an arithmetic number, because the mean of its divisors is an integer number (230063400).

Almost surely, 211324453200 is an apocalyptic number.

11324453200 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 11324453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13803804000).

11324453200 is an abundant number, since it is smaller than the sum of its proper divisors (16283154800).

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

11324453200 is a wasteful number, since it uses less digits than its factorization.

11324453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 11324453200 its reverse (235442311), we get a palindrome (11559895511).

The spelling of 11324453200 in words is "eleven billion, three hundred twenty-four million, four hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 199 200 226 398 400 452 565 796 904 995 1130 1259 1592 1808 1990 2260 2518 2825 3184 3980 4520 4975 5036 5650 6295 7960 9040 9950 10072 11300 12590 15920 19900 20144 22487 22600 25180 31475 39800 44974 45200 50360 62950 79600 89948 100720 112435 125900 142267 179896 224870 250541 251800 284534 359792 449740 501082 503600 562175 569068 711335 899480 1002164 1124350 1138136 1252705 1422670 1798960 2004328 2248700 2276272 2505410 2845340 3556675 4008656 4497400 5010820 5690680 6263525 7113350 8994800 10021640 11381360 12527050 14226700 20043280 25054100 28311133 28453400 50108200 56622266 56906800 100216400 113244532 141555665 226489064 283111330 452978128 566222660 707778325 1132445320 1415556650 2264890640 2831113300 5662226600 11324453200