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331106542082034 = 23294159800998221
BaseRepresentation
bin100101101001000111011111…
…1110100101101011111110010
31121102100110212012210022111120
41023102032333310231133302
5321344322144233111114
63132112125012323110
7126512441530525305
oct11322167764553762
91542313765708446
10331106542082034
1196556550091634
12311767bb013496
131129a29cab5594
145ba98dc086b3c
152842c935ed5a9
hex12d23bfd2d7f2

331106542082034 has 128 divisors (see below), whose sum is σ = 713747057184000. Its totient is φ = 102188025139200.

The previous prime is 331106542082033. The next prime is 331106542082111. The reversal of 331106542082034 is 430280245601133.

It is not an unprimeable number, because it can be changed into a prime (331106542082033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3370987044 + ... + 3371085264.

It is an arithmetic number, because the mean of its divisors is an integer number (5576148884250).

Almost surely, 2331106542082034 is an apocalyptic number.

331106542082034 is an abundant number, since it is smaller than the sum of its proper divisors (382640515101966).

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

331106542082034 is a wasteful number, since it uses less digits than its factorization.

331106542082034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106364.

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 331106542082034 its reverse (430280245601133), we get a palindrome (761386787683167).

The spelling of 331106542082034 in words is "three hundred thirty-one trillion, one hundred six billion, five hundred forty-two million, eighty-two thousand, thirty-four".

Divisors: 1 2 3 6 29 41 58 59 82 87 118 123 174 177 246 354 1189 1711 2378 2419 3422 3567 4838 5133 7134 7257 8009 10266 14514 16018 24027 48054 70151 98221 140302 196442 210453 232261 294663 328369 420906 464522 472531 589326 656738 696783 945062 985107 1393566 1417593 1970214 2835186 2848409 4027061 5696818 5795039 8054122 8545227 9522701 11590078 12081183 13703399 17090454 17385117 19045402 19373771 24162366 27406798 28568103 34770234 38747542 41110197 57136206 58121313 82220394 116242626 116784769 168056131 233569538 237596599 336112262 350354307 475193198 504168393 561839359 700708614 712789797 786651989 1008336786 1123678718 1425579594 1573303978 1685518077 2359955967 3371036154 4719911934 6890301371 13780602742 20670904113 22812907681 32252731549 41341808226 45625815362 46412467351 64505463098 68438723043 92824934702 96758194647 136877446086 139237402053 193516389294 278474804106 935329214921 1345961553179 1870658429842 1902911161391 2691923106358 2805987644763 3805822322782 4037884659537 5611975289526 5708733484173 8075769319074 11417466968346 55184423680339 110368847360678 165553271041017 331106542082034