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112111011120 = 243517132720707
BaseRepresentation
bin110100001101001010…
…1100100010100110000
3101201101012122110020010
41220122111210110300
53314100404323440
6123300400014520
711046133604553
oct1503225442460
9351335573203
10112111011120
1143600819aa9
1219889901440
13a758971904
1455d76d869a
152db25d7580
hex1a1a564530

112111011120 has 160 divisors (see below), whose sum is σ = 368282999808. Its totient is φ = 28115103744.

The previous prime is 112111011097. The next prime is 112111011121. The reversal of 112111011120 is 21110111211.

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 = 112111011096 and 112111011105.

It is not an unprimeable number, because it can be changed into a prime (112111011121) 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, 5403807 + ... + 5424513.

Almost surely, 2112111011120 is an apocalyptic number.

112111011120 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 112111011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184141499904).

112111011120 is an abundant number, since it is smaller than the sum of its proper divisors (256171988688).

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

112111011120 is a wasteful number, since it uses less digits than its factorization.

112111011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22067 (or 22061 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112111011120 its reverse (21110111211), we get a palindrome (133221122331).

It can be divided in two parts, 1 and 12111011120, that added together give a palindrome (12111011121).

The spelling of 112111011120 in words is "one hundred twelve billion, one hundred eleven million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1327 1360 2040 2654 3981 4080 5308 6635 7962 10616 13270 15924 19905 20707 21232 22559 26540 31848 39810 41414 45118 53080 62121 63696 67677 79620 82828 90236 103535 106160 112795 124242 135354 159240 165656 180472 207070 225590 248484 270708 310605 318480 331312 338385 352019 360944 414140 451180 496968 541416 621210 676770 704038 828280 902360 993936 1056057 1082832 1242420 1353540 1408076 1656560 1760095 1804720 2112114 2484840 2707080 2816152 3520190 4224228 4969680 5280285 5414160 5632304 7040380 8448456 10560570 14080760 16896912 21121140 27478189 28161520 42242280 54956378 82434567 84484560 109912756 137390945 164869134 219825512 274781890 329738268 412172835 439651024 467129213 549563780 659476536 824345670 934258426 1099127560 1318953072 1401387639 1648691340 1868516852 2198255120 2335646065 2802775278 3297382680 3737033704 4671292130 5605550556 6594765360 7006938195 7474067408 9342584260 11211101112 14013876390 18685168520 22422202224 28027752780 37370337040 56055505560 112111011120