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31112323112332 = 227112103313016833
BaseRepresentation
bin1110001001011111001101…
…11101111001110110001100
311002011022100021212111100201
413010233212331321312030
513034221014204043312
6150100445351503244
76360535241011030
oct704574675716614
9132138307774321
1031112323112332
119a05731333800
1235a593a087b24
131448b582aca67
14797bb73401c0
1538e482572557
hex1c4be6f79d8c

31112323112332 has 144 divisors (see below), whose sum is σ = 68524545773376. Its totient is φ = 12098870784000.

The previous prime is 31112323112329. The next prime is 31112323112363. The reversal of 31112323112332 is 23321132321113.

31112323112332 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×311123231123322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 31112323112332.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4553241588 + ... + 4553248420.

It is an arithmetic number, because the mean of its divisors is an integer number (475864901204).

Almost surely, 231112323112332 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 31112323112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34262272886688).

31112323112332 is an abundant number, since it is smaller than the sum of its proper divisors (37412222661044).

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

31112323112332 is a wasteful number, since it uses less digits than its factorization.

31112323112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 9187 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

Adding to 31112323112332 its reverse (23321132321113), we get a palindrome (54433455433445).

The spelling of 31112323112332 in words is "thirty-one trillion, one hundred twelve billion, three hundred twenty-three million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1033 1301 1694 2066 2602 3388 4132 5204 6833 7231 9107 11363 13666 14311 14462 18214 22726 27332 28622 28924 36428 45452 47831 57244 75163 79541 95662 100177 124993 150326 157421 159082 191324 200354 249986 300652 314842 318164 400708 499972 526141 629684 826793 874951 1052282 1101947 1343933 1653586 1749902 2104564 2203894 2687866 3307172 3499804 4407788 5375732 5787551 7058489 8889733 9407531 11575102 14116978 14783263 17779466 18815062 23150204 28233956 29566526 35558932 37630124 49409423 59133052 62228131 77643379 97787063 98818846 103482841 124456262 155286758 162615893 195574126 197637692 206965682 248912524 310573516 325231786 391148252 413931364 543503653 650463572 684509441 854077169 1075657693 1087007306 1138311251 1369018882 1708154338 2151315386 2174014612 2276622502 2738037764 3416308676 4302630772 4553245004 5978540183 7529603851 9183094189 11957080366 15059207702 18366188378 23914160732 30118415404 36732376756 64281659323 101014036079 128563318646 202028072158 257126637292 404056144316 707098252553 1111154396869 1414196505106 2222308793738 2828393010212 4444617587476 7778080778083 15556161556166 31112323112332