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331220221323112 = 2311101229347468973
BaseRepresentation
bin100101101001111100011011…
…1101000100110011101101000
31121102202100021201100002210201
41023103320313220212131220
5321403203003124314422
63132240245153121544
7126523604566243162
oct11323706750463550
91542670251302721
10331220221323112
119659a786052a50
1231194845b592b4
13112a7c186183c4
145bb1203b65932
152845be870b727
hex12d3e37a26768

331220221323112 has 128 divisors (see below), whose sum is σ = 689173425705600. Its totient is φ = 147985052544000.

The previous prime is 331220221323109. The next prime is 331220221323113. The reversal of 331220221323112 is 211323122022133.

It is not an unprimeable number, because it can be changed into a prime (331220221323113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706032658 + ... + 706501630.

It is an arithmetic number, because the mean of its divisors is an integer number (5384167388325).

Almost surely, 2331220221323112 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 331220221323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344586712852800).

331220221323112 is an abundant number, since it is smaller than the sum of its proper divisors (357953204382488).

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

331220221323112 is a wasteful number, since it uses less digits than its factorization.

331220221323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469667 (or 469663 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 331220221323112 its reverse (211323122022133), we get a palindrome (542543343345245).

The spelling of 331220221323112 in words is "three hundred thirty-one trillion, two hundred twenty billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 202 229 347 404 458 694 808 916 1111 1388 1832 2222 2519 2776 3817 4444 5038 7634 8888 10076 15268 20152 23129 30536 35047 46258 70094 79463 92516 140188 158926 185032 254419 280376 317852 385517 468973 508838 635704 771034 874093 937946 1017676 1542068 1748186 1875892 2035352 3084136 3496372 3751784 5158703 6992744 8025763 10317406 16051526 20634812 32103052 41269624 47366273 64206104 88283393 94732546 107394817 162733631 176566786 189465092 214789634 325467262 353133572 378930184 429579268 521029003 650934524 706267144 859158536 1042058006 1181342987 1301869048 1790069941 2084116012 2362685974 3580139882 4168232024 4725371948 7160279764 9450743896 10846876517 14320559528 16436096731 21693753034 32872193462 37266001499 43387506068 65744386924 74532002998 86775012136 119315641687 131488773848 149064005996 180797064041 238631283374 298128011992 361594128082 409926016489 477262566748 723188256164 819852032978 954525133496 1446376512328 1639704065956 3279408131912 3763866151399 7527732302798 15055464605596 30110929211192 41402527665389 82805055330778 165610110661556 331220221323112