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101144440332 = 2232135912728843
BaseRepresentation
bin101111000110010101…
…1011010111000001100
3100200001221002221020200
41132030223122320030
53124120434042312
6114244244213500
710210311362145
oct1361453327014
9320057087220
10101144440332
1139993444061
121772909a290
1396cb950080
144c7704aacc
15296e94d0dc
hex178cadae0c

101144440332 has 144 divisors (see below), whose sum is σ = 282218926080. Its totient is φ = 30351936384.

The previous prime is 101144440223. The next prime is 101144440361. The reversal of 101144440332 is 233044441101.

It is a junction number, because it is equal to n+sod(n) for n = 101144440296 and 101144440305.

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, 3492303 + ... + 3521145.

Almost surely, 2101144440332 is an apocalyptic number.

101144440332 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 101144440332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141109463040).

101144440332 is an abundant number, since it is smaller than the sum of its proper divisors (181074485748).

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

101144440332 is a wasteful number, since it uses less digits than its factorization.

101144440332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29052 (or 29047 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101144440332 its reverse (233044441101), we get a palindrome (334188881433).

The spelling of 101144440332 in words is "one hundred one billion, one hundred forty-four million, four hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 127 156 177 234 236 254 354 381 468 508 531 708 762 767 1062 1143 1524 1534 1651 2124 2286 2301 3068 3302 4572 4602 4953 6604 6903 7493 9204 9906 13806 14859 14986 19812 22479 27612 28843 29718 29972 44958 57686 59436 67437 86529 89916 97409 115372 134874 173058 194818 259587 269748 292227 346116 374959 389636 519174 584454 749918 876681 1038348 1124877 1168908 1499836 1701737 1753362 2249754 3374631 3403474 3506724 3663061 4499508 5105211 6749262 6806948 7326122 10210422 10989183 13498524 14652244 15315633 20420844 21978366 22122581 30631266 32967549 43956732 44245162 47619793 61262532 65935098 66367743 88490324 95239586 131870196 132735486 142859379 190479172 199103229 216120599 265470972 285718758 398206458 428578137 432241198 571437516 648361797 796412916 857156274 864482396 1296723594 1714312548 1945085391 2593447188 2809567787 3890170782 5619135574 7780341564 8428703361 11238271148 16857406722 25286110083 33714813444 50572220166 101144440332