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111123022330112 = 2813318912102331
BaseRepresentation
bin11001010001000011011000…
…010001011011100100000000
3112120110020221111012002120212
4121101003120101123210000
5104031114422204030422
61032201113421453252
732256242041026212
oct3121033021334400
9476406844162525
10111123022330112
1132453011152591
1210568477411228
134a00b18956770
141d62550c6a5b2
15cca8714349e2
hex6510d845b900

111123022330112 has 144 divisors (see below), whose sum is σ = 249350639408640. Its totient is φ = 49075432243200.

The previous prime is 111123022330091. The next prime is 111123022330121. The reversal of 111123022330112 is 211033220321111.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3130787 + ... + 15233117.

It is an arithmetic number, because the mean of its divisors is an integer number (1731601662560).

Almost surely, 2111123022330112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111123022330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124675319704320).

111123022330112 is an abundant number, since it is smaller than the sum of its proper divisors (138227617078528).

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

111123022330112 is a wasteful number, since it uses less digits than its factorization.

111123022330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102480 (or 12102466 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 111123022330112 its reverse (211033220321111), we get a palindrome (322156242651223).

The spelling of 111123022330112 in words is "one hundred eleven trillion, one hundred twenty-three billion, twenty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 89 104 124 128 178 208 248 256 356 403 416 496 712 806 832 992 1157 1424 1612 1664 1984 2314 2759 2848 3224 3328 3968 4628 5518 5696 6448 7936 9256 11036 11392 12896 18512 22072 22784 25792 35867 37024 44144 51584 71734 74048 88288 103168 143468 148096 176576 286936 296192 353152 573872 706304 1147744 2295488 4590976 9181952 12102331 24204662 48409324 96818648 157330303 193637296 314660606 375172261 387274592 629321212 750344522 774549184 1077107459 1258642424 1500689044 1549098368 2154214918 2517284848 3001378088 3098196736 4308429836 4877239393 5034569696 6002756176 8616859672 9754478786 10069139392 12005512352 14002396967 17233719344 19508957572 20138278784 24011024704 28004793934 33390331229 34467438688 39017915144 40276557568 48022049408 56009587868 66780662458 68934877376 78035830288 96044098816 112019175736 133561324916 137869754752 156071660576 224038351472 267122649832 275739509504 312143321152 434074305977 448076702944 534245299664 624286642304 868148611954 896153405888 1068490599328 1248573284608 1736297223908 1792306811776 2136981198656 3472594447816 3584613623552 4273962397312 6945188895632 8547924794624 13890377791264 27780755582528 55561511165056 111123022330112