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133123220410332 = 223172575171491039
BaseRepresentation
bin11110010001001100101010…
…010000111000111111011100
3122110100110022010012222012010
4132101030222100320333130
5114422042323411112312
61151043544014311220
740016556334156425
oct3621145220707734
9573313263188163
10133123220410332
1139465271451a69
1212b202091b8510
135938609536099
1424c32abdba64c
15105cc9187393c
hex79132a438fdc

133123220410332 has 96 divisors (see below), whose sum is σ = 330236923484160. Its totient is φ = 41593511280640.

The previous prime is 133123220410309. The next prime is 133123220410373. The reversal of 133123220410332 is 233014022321331.

It is a self number, because there is not a number n which added to its sum of digits gives 133123220410332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270859669 + ... + 271350707.

It is an arithmetic number, because the mean of its divisors is an integer number (3439967952960).

Almost surely, 2133123220410332 is an apocalyptic number.

133123220410332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133123220410332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165118461742080).

133123220410332 is an abundant number, since it is smaller than the sum of its proper divisors (197113703073828).

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

133123220410332 is a wasteful number, since it uses less digits than its factorization.

133123220410332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496491 (or 496489 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 133123220410332 its reverse (233014022321331), we get a palindrome (366137242731663).

The spelling of 133123220410332 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, two hundred twenty million, four hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 257 514 771 1028 1542 3084 4369 5171 8738 10342 13107 15513 17476 20684 26214 31026 52428 62052 87907 175814 263721 351628 491039 527442 982078 1054884 1328947 1473117 1964156 2657894 2946234 3986841 5315788 5892468 7973682 8347663 15947364 16695326 22592099 25042989 33390652 45184198 50085978 67776297 90368396 100171956 126197023 135552594 252394046 271105188 378591069 504788092 757182138 1514364276 2145349391 2539162669 4290698782 5078325338 6436048173 7617488007 8581397564 10156650676 12872096346 15234976014 25744192692 30469952028 43165765373 86331530746 129497296119 172663061492 258994592238 517989184476 652564805933 1305129611866 1957694417799 2610259223732 3915388835598 7830777671196 11093601700861 22187203401722 33280805102583 44374406803444 66561610205166 133123220410332