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112222100111120 = 24531233928320921
BaseRepresentation
bin11001100001000010111110…
…011010011011111100010000
3112201100022212002221021200122
4121201002332122123330100
5104202121330112023440
61034402042053005412
732431531154024516
oct3141027632337420
9481308762837618
10112222100111120
113283714198581a
121070548a323868
134a80663658c0c
141d9d815a724b6
15ce924ae6a7b5
hex6610be69bf10

112222100111120 has 160 divisors (see below), whose sum is σ = 270531044619264. Its totient is φ = 43247644876800.

The previous prime is 112222100111119. The next prime is 112222100111123. The reversal of 112222100111120 is 21111001222211.

It is not an unprimeable number, because it can be changed into a prime (112222100111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5364078260 + ... + 5364099180.

Almost surely, 2112222100111120 is an apocalyptic number.

112222100111120 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 112222100111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135265522309632).

112222100111120 is an abundant number, since it is smaller than the sum of its proper divisors (158308944508144).

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

112222100111120 is a wasteful number, since it uses less digits than its factorization.

112222100111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30481 (or 30475 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112222100111120 its reverse (21111001222211), we get a palindrome (133333101333331).

The spelling of 112222100111120 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 233 248 310 466 496 620 932 1165 1240 1864 2330 2480 3728 4660 7223 9283 9320 14446 18566 18640 20921 28892 36115 37132 41842 46415 57784 72230 74264 83684 92830 104605 115568 144460 148528 167368 185660 209210 287773 288920 334736 371320 418420 575546 577840 648551 742640 836840 1151092 1297102 1438865 1673680 2162939 2302184 2594204 2877730 3242755 4325878 4604368 4874593 5188408 5755460 6485510 8651756 9749186 10376816 10814695 11510920 12971020 17303512 19498372 21629390 23021840 24372965 25942040 34607024 38996744 43258780 48745930 51884080 67051109 77993488 86517560 97491860 134102218 151112383 173035120 194209643 194983720 268204436 302224766 335255545 388419286 389967440 536408872 604449532 670511090 755561915 776838572 971048215 1072817744 1208899064 1341022180 1511123830 1553677144 1942096430 2417798128 2682044360 3022247660 3107354288 3884192860 5364088720 6020498933 6044495320 7768385720 12040997866 12088990640 15536771440 24081995732 30102494665 45250846819 48163991464 60204989330 90501693638 96327982928 120409978660 181003387276 226254234095 240819957320 362006774552 452508468190 481639914640 724013549104 905016936380 1402776251389 1810033872760 2805552502778 3620067745520 5611105005556 7013881256945 11222210011112 14027762513890 22444420022224 28055525027780 56111050055560 112222100111120