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111202112222120 = 23523898771548587
BaseRepresentation
bin11001010010001101000010…
…011001011011001110101000
3112120201211002101202220010102
4121102031002121123032220
5104033413411212101440
61032301313424404532
732265042002022563
oct3122150231331650
9476654071686112
10111202112222120
1132483607352aa7
121057b86a476748
134a0841136612a
141d662d4bb74da
15ccc94ea7bb15
hex65234265b3a8

111202112222120 has 128 divisors (see below), whose sum is σ = 264317955321600. Its totient is φ = 42020843943936.

The previous prime is 111202112222119. The next prime is 111202112222161. The reversal of 111202112222120 is 21222211202111.

111202112222120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111202112222092 and 111202112222101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71034467 + ... + 72583053.

It is an arithmetic number, because the mean of its divisors is an integer number (2064984025950).

Almost surely, 2111202112222120 is an apocalyptic number.

111202112222120 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 111202112222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132158977660800).

111202112222120 is an abundant number, since it is smaller than the sum of its proper divisors (153115843099480).

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

111202112222120 is a wasteful number, since it uses less digits than its factorization.

111202112222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549587 (or 1549583 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 111202112222120 its reverse (21222211202111), we get a palindrome (132424323424231).

The spelling of 111202112222120 in words is "one hundred eleven trillion, two hundred two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 89 92 115 178 184 230 356 445 460 712 877 890 920 1754 1780 2047 3508 3560 4094 4385 7016 8188 8770 10235 16376 17540 20171 20470 35080 40342 40940 78053 80684 81880 100855 156106 161368 201710 312212 390265 403420 624424 780530 806840 1548587 1561060 1795219 3097174 3122120 3590438 6194348 7180876 7742935 8976095 12388696 14361752 15485870 17952190 30971740 35617501 35904380 61943480 71235002 71808760 137824243 142470004 178087505 275648486 284940008 356175010 551296972 689121215 712350020 1102593944 1358110799 1378242430 1424700040 2716221598 2756484860 3169957589 5432443196 5512969720 6339915178 6790553995 10864886392 12679830356 13581107990 15849787945 25359660712 27162215980 31236548377 31699575890 54324431960 62473096754 63399151780 120871861111 124946193508 126798303560 156182741885 241743722222 249892387016 312365483770 483487444444 604359305555 624730967540 966974888888 1208718611110 1249461935080 2417437222220 2780052805553 4834874444440 5560105611106 11120211222212 13900264027765 22240422444424 27800528055530 55601056111060 111202112222120