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112110030120 = 233511149956659
BaseRepresentation
bin110100001101001000…
…1110100110100101000
3101201101010210121112210
41220122101310310220
53314100131430440
6123300323005120
711046122350524
oct1503221646450
9351333717483
10112110030120
1143600209a60
12198895097a0
13a7586ba23a
1455d7520d84
152db2491a80
hex1a1a474d28

112110030120 has 128 divisors (see below), whose sum is σ = 367156800000. Its totient is φ = 27159578880.

The previous prime is 112110030113. The next prime is 112110030121. The reversal of 112110030120 is 21030011211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112110030096 and 112110030105.

It is not an unprimeable number, because it can be changed into a prime (112110030121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950351 + ... + 2007009.

It is an arithmetic number, because the mean of its divisors is an integer number (2868412500).

Almost surely, 2112110030120 is an apocalyptic number.

112110030120 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 112110030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183578400000).

112110030120 is an abundant number, since it is smaller than the sum of its proper divisors (255046769880).

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

112110030120 is a wasteful number, since it uses less digits than its factorization.

112110030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58183 (or 58179 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112110030120 its reverse (21030011211), we get a palindrome (133140041331).

The spelling of 112110030120 in words is "one hundred twelve billion, one hundred ten million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1499 2998 4497 5996 7495 8994 11992 14990 16489 17988 22485 29980 32978 35976 44970 49467 56659 59960 65956 82445 89940 98934 113318 131912 164890 169977 179880 197868 226636 247335 283295 329780 339954 395736 453272 494670 566590 623249 659560 679908 849885 989340 1133180 1246498 1359816 1699770 1869747 1978680 2266360 2492996 3116245 3399540 3739494 4985992 6232490 6799080 7478988 9348735 12464980 14957976 18697470 24929960 37394940 74789880 84931841 169863682 254795523 339727364 424659205 509591046 679454728 849318410 934250251 1019182092 1273977615 1698636820 1868500502 2038364184 2547955230 2802750753 3397273640 3737001004 4671251255 5095910460 5605501506 7474002008 9342502510 10191820920 11211003012 14013753765 18685005020 22422006024 28027507530 37370010040 56055015060 112110030120