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112311200120 = 23573535691997
BaseRepresentation
bin110100010011001000…
…1001110100101111000
3101201220011100002220112
41220212101032211320
53320003131400440
6123332310443452
711054114310140
oct1504621164570
9351804302815
10112311200120
11436a3820a59
1219924963588
13a78b293c42
145616129920
152dc4e7c965
hex1a2644e978

112311200120 has 128 divisors (see below), whose sum is σ = 290272636800. Its totient is φ = 38310936576.

The previous prime is 112311200107. The next prime is 112311200129. The reversal of 112311200120 is 21002113211.

It is a super-2 number, since 2×1123112001202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112311200095 and 112311200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112311200129) 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 31 ways as a sum of consecutive naturals, for example, 56238962 + ... + 56240958.

It is an arithmetic number, because the mean of its divisors is an integer number (2267754975).

Almost surely, 2112311200120 is an apocalyptic number.

112311200120 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 112311200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145136318400).

112311200120 is an abundant number, since it is smaller than the sum of its proper divisors (177961436680).

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

112311200120 is a wasteful number, since it uses less digits than its factorization.

112311200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 112311200120 its reverse (21002113211), we get a palindrome (133313313331).

The spelling of 112311200120 in words is "one hundred twelve billion, three hundred eleven million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 353 569 706 1138 1412 1765 1997 2276 2471 2824 2845 3530 3983 3994 4552 4942 5690 7060 7966 7988 9884 9985 11380 12355 13979 14120 15932 15976 19768 19915 19970 22760 24710 27958 31864 39830 39940 49420 55916 69895 79660 79880 98840 111832 139790 159320 200857 279580 401714 559160 704941 803428 1004285 1136293 1405999 1409882 1606856 2008570 2272586 2811998 2819764 3524705 4017140 4545172 4934587 5623996 5639528 5681465 7029995 7049410 7954051 8034280 9090344 9869174 11247992 11362930 14059990 14098820 15908102 19738348 22725860 24672935 28119980 28197640 31816204 39476696 39770255 45451720 49345870 56239960 63632408 79540510 98691740 159081020 197383480 318162040 401111429 802222858 1604445716 2005557145 2807780003 3208891432 4011114290 5615560006 8022228580 11231120012 14038900015 16044457160 22462240024 28077800030 56155600060 112311200120