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82110430332 = 223272103451921
BaseRepresentation
bin100110001111000101…
…0011011110001111100
321211221102021001011100
41030132022123301330
52321130232232312
6101415423253100
75634526066500
oct1143612336174
9254842231140
1082110430332
1131906219687
1213ab674a190
137987435368
143d8d17c300
1522088e65dc
hex131e29bc7c

82110430332 has 108 divisors (see below), whose sum is σ = 243788419056. Its totient is φ = 23232303360.

The previous prime is 82110430327. The next prime is 82110430333. The reversal of 82110430332 is 23303401128.

It is a junction number, because it is equal to n+sod(n) for n = 82110430296 and 82110430305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82110430333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44269 + ... + 407652.

Almost surely, 282110430332 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 82110430332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121894209528).

82110430332 is an abundant number, since it is smaller than the sum of its proper divisors (161677988724).

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

82110430332 is a wasteful number, since it uses less digits than its factorization.

82110430332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452048 (or 452036 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 82110430332 in words is "eighty-two billion, one hundred ten million, four hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 103 126 147 196 206 252 294 309 412 441 588 618 721 882 927 1236 1442 1764 1854 2163 2884 3708 4326 5047 6489 8652 10094 12978 15141 20188 25956 30282 45423 60564 90846 181692 451921 903842 1355763 1807684 2711526 3163447 4067289 5423052 6326894 8134578 9490341 12653788 16269156 18980682 22144129 28471023 37961364 44288258 46547863 56942046 66432387 88576516 93095726 113884092 132864774 139643589 186191452 199297161 265729548 279287178 325835041 398594322 418930767 558574356 651670082 797188644 837861534 977505123 1303340164 1675723068 1955010246 2280845287 2932515369 3910020492 4561690574 5865030738 6842535861 9123381148 11730061476 13685071722 20527607583 27370143444 41055215166 82110430332