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111201331120 = 24511671886047
BaseRepresentation
bin110011110010000011…
…1011010011110110000
3101122000210220220212021
41213210013122132300
53310220020043440
6123030222241224
711014446501355
oct1474407323660
9348023826767
10111201331120
1143184285a50
1219675126214
13a642369219
14554c97c62c
152d5c7e784a
hex19e41da7b0

111201331120 has 80 divisors (see below), whose sum is σ = 286256821248. Its totient is φ = 39833291520.

The previous prime is 111201331099. The next prime is 111201331121. The reversal of 111201331120 is 21133102111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 111201331094 and 111201331103.

It is not an unprimeable number, because it can be changed into a prime (111201331121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884064 + ... + 1001983.

Almost surely, 2111201331120 is an apocalyptic number.

111201331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111201331120 is an abundant number, since it is smaller than the sum of its proper divisors (175055490128).

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

111201331120 is a wasteful number, since it uses less digits than its factorization.

111201331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886138 (or 1886132 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 111201331120 its reverse (21133102111), we get a palindrome (132334433231).

The spelling of 111201331120 in words is "one hundred eleven billion, two hundred one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1340 1474 2680 2948 3685 5360 5896 7370 11792 14740 29480 58960 1886047 3772094 7544188 9430235 15088376 18860470 20746517 30176752 37720940 41493034 75441880 82986068 103732585 126365149 150883760 165972136 207465170 252730298 331944272 414930340 505460596 631825745 829860680 1010921192 1263651490 1390016639 1659721360 2021842384 2527302980 2780033278 5054605960 5560066556 6950083195 10109211920 11120133112 13900166390 22240266224 27800332780 55600665560 111201331120