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11324112000 = 27353235919
BaseRepresentation
bin10101000101111100…
…00011110010000000
31002020012022111022120
422202332003302000
5141142433041000
65111403004240
7550423235535
oct124276036200
932205274276
1011324112000
114891190a53
122240509680
1310b61183b6
14795d5cd8c
154642626a0
hex2a2f83c80

11324112000 has 128 divisors (see below), whose sum is σ = 37539590400. Its totient is φ = 3019750400.

The previous prime is 11324111983. The next prime is 11324112001. The reversal of 11324112000 is 21142311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11324112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69960 + ... + 165959.

It is an arithmetic number, because the mean of its divisors is an integer number (293278050).

Almost surely, 211324112000 is an apocalyptic number.

11324112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11324112000 is an abundant number, since it is smaller than the sum of its proper divisors (26215478400).

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

11324112000 is an equidigital number, since it uses as much as digits as its factorization.

11324112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235951 (or 235929 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11324112000 its reverse (21142311), we get a palindrome (11345254311).

The spelling of 11324112000 in words is "eleven billion, three hundred twenty-four million, one hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 235919 471838 707757 943676 1179595 1415514 1887352 2359190 2831028 3538785 3774704 4718380 5662056 5897975 7077570 7549408 9436760 11324112 11795950 14155140 15098816 17693925 18873520 22648224 23591900 28310280 29489875 30197632 35387850 37747040 45296448 47183800 56620560 58979750 70775700 75494080 88469625 90592896 94367600 113241120 117959500 141551400 150988160 176939250 188735200 226482240 235919000 283102800 353878500 377470400 452964480 471838000 566205600 707757000 754940800 943676000 1132411200 1415514000 1887352000 2264822400 2831028000 3774704000 5662056000 11324112000