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231220212432012 = 223413711174663447
BaseRepresentation
bin110100100100101100100110…
…101000000111110010001100
31010022200102210011021212020000
4310210230212220013302030
5220301302443340311022
62135433033231524300
766463052261400216
oct6444544650076214
91108612704255200
10231220212432012
1167745a3a023861
1221b24039389690
139c02c846ab56b
144115191abb5b6
151bae87d2826ac
hexd24b26a07c8c

231220212432012 has 120 divisors (see below), whose sum is σ = 609412613313504. Its totient is φ = 76442311450368.

The previous prime is 231220212431977. The next prime is 231220212432067. The reversal of 231220212432012 is 210234212022132.

231220212432012 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 2 + 0 + 212 + 432 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47249673 + ... + 51913119.

Almost surely, 2231220212432012 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 231220212432012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304706306656752).

231220212432012 is an abundant number, since it is smaller than the sum of its proper divisors (378192400881492).

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

231220212432012 is a wasteful number, since it uses less digits than its factorization.

231220212432012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664717 (or 4664706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 231220212432012 its reverse (210234212022132), we get a palindrome (441454424454144).

The spelling of 231220212432012 in words is "two hundred thirty-one trillion, two hundred twenty billion, two hundred twelve million, four hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 411 548 822 1117 1233 1644 2234 2466 3351 3699 4468 4932 6702 7398 10053 11097 13404 14796 20106 22194 30159 40212 44388 60318 90477 120636 153029 180954 306058 361908 459087 612116 918174 1377261 1836348 2754522 4131783 4663447 5509044 8263566 9326894 12395349 13990341 16527132 18653788 24790698 27980682 41971023 49581396 55961364 83942046 125913069 167884092 251826138 377739207 503652276 638892239 755478414 1277784478 1510956828 1916676717 2555568956 3833353434 5209070299 5750030151 7666706868 10418140598 11500060302 15627210897 17250090453 20836281196 23000120604 31254421794 34500180906 46881632691 51750271359 62508843588 69000361812 93763265382 103500542718 140644898073 187526530764 207001085436 281289796146 421934694219 562579592292 713642630963 843869388438 1427285261926 1687738776876 2140927892889 2854570523852 4281855785778 6422783678667 8563711571556 12845567357334 19268351036001 25691134714668 38536702072002 57805053108003 77073404144004 115610106216006 231220212432012