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331013441220112 = 24747569311045581
BaseRepresentation
bin100101101000011100001001…
…0100101000110111000010000
31121102000120112212002111111101
41023100320102211012320100
5321341311011423020422
63132001250421554144
7126502634436334060
oct11320702245067020
91542016485074441
10331013441220112
1196520015080042
1231160757875954
1311291583725b81
145ba51c94093a0
152840644e07c27
hex12d0e12946e10

331013441220112 has 80 divisors (see below), whose sum is σ = 748684746680832. Its totient is φ = 138820142522880.

The previous prime is 331013441220101. The next prime is 331013441220173. The reversal of 331013441220112 is 211022144310133.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24445162 + ... + 35490742.

Almost surely, 2331013441220112 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 331013441220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374342373340416).

331013441220112 is an abundant number, since it is smaller than the sum of its proper divisors (417671305460720).

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

331013441220112 is a wasteful number, since it uses less digits than its factorization.

331013441220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051336 (or 11051330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 331013441220112 its reverse (211022144310133), we get a palindrome (542035585530245).

The spelling of 331013441220112 in words is "three hundred thirty-one trillion, thirteen billion, four hundred forty-one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 5693 11386 22772 39851 45544 79702 91088 159404 267571 318808 535142 637616 1070284 1872997 2140568 3745994 4281136 7491988 11045581 14983976 22091162 29967952 44182324 77319067 88364648 154638134 176729296 309276268 519142307 618552536 1038284614 1237105072 2076569228 3633996149 4153138456 7267992298 8306276912 14535984596 29071969192 58143938384 62882492633 125764985266 251529970532 440177448431 503059941064 880354896862 1006119882128 1760709793724 2955477153751 3521419587448 5910954307502 7042839174896 11821908615004 20688340076257 23643817230008 41376680152514 47287634460016 82753360305028 165506720610056 331013441220112