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331011320332 = 2272111312774231
BaseRepresentation
bin1001101000100011100…
…11111110101000001100
31011122101202012022210211
410310101303332220030
520410402344222312
6412021533212204
732625524541100
oct4642163765014
91148352168724
10331011320332
11118421296260
125419b031064
13252a28956b4
1412041a03900
158924ea33a7
hex4d11cfea0c

331011320332 has 144 divisors (see below), whose sum is σ = 743564295936. Its totient is φ = 127488816000.

The previous prime is 331011320293. The next prime is 331011320347. The reversal of 331011320332 is 233023110133.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 47 ways as a sum of consecutive naturals, for example, 78232657 + ... + 78236887.

It is an arithmetic number, because the mean of its divisors is an integer number (5163640944).

Almost surely, 2331011320332 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 331011320332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371782147968).

331011320332 is an abundant number, since it is smaller than the sum of its proper divisors (412552975604).

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

331011320332 is a wasteful number, since it uses less digits than its factorization.

331011320332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 331011320332 its reverse (233023110133), we get a palindrome (564034430465).

The spelling of 331011320332 in words is "three hundred thirty-one billion, eleven million, three hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 131 154 196 262 277 308 524 539 554 917 1078 1108 1441 1834 1939 2156 2882 3047 3668 3878 4231 5764 6094 6419 7756 8462 10087 12188 12838 13573 16924 20174 21329 25676 27146 29617 36287 40348 42658 46541 54292 59234 70609 72574 85316 93082 118468 141218 145148 149303 186164 207319 254009 282436 298606 325787 399157 414638 508018 554261 597212 651574 798314 829276 1016036 1108522 1171987 1303148 1596628 1778063 2217044 2280509 2343974 2794099 3556126 3879827 4561018 4687948 5588198 6096871 7112252 7759654 8203909 9122036 11176396 12193742 12891857 15519308 16407818 19558693 24387484 25783714 27158789 32815636 39117386 42678097 51567428 54317578 57427363 78234772 85356194 90242999 108635156 114854726 153530297 170712388 180485998 229709452 298746679 307060594 360971996 597493358 614121188 631700993 1074712079 1194986716 1263401986 1688833267 2149424158 2526803972 3377666534 4298848316 6755333068 7522984553 11821832869 15045969106 23643665738 30091938212 47287331476 82752830083 165505660166 331011320332