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113130122224 = 24717531796263
BaseRepresentation
bin110100101011100010…
…1001010101111110000
3101211000020021122211211
41221113011022233300
53323142302402344
6123545443045504
711113320113140
oct1512705125760
9354006248754
10113130122224
1143a84006289
1219b13070894
13a88bb40732
145692bbc920
152e21ce1334
hex1a5714abf0

113130122224 has 160 divisors (see below), whose sum is σ = 271795461120. Its totient is φ = 44514103296.

The previous prime is 113130122197. The next prime is 113130122233. The reversal of 113130122224 is 422221031311.

It is a junction number, because it is equal to n+sod(n) for n = 113130122195 and 113130122204.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18060117 + ... + 18066379.

It is an arithmetic number, because the mean of its divisors is an integer number (1698721632).

Almost surely, 2113130122224 is an apocalyptic number.

113130122224 is a gapful number since it is divisible by the number (14) 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 113130122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135897730560).

113130122224 is an abundant number, since it is smaller than the sum of its proper divisors (158665338896).

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

113130122224 is a wasteful number, since it uses less digits than its factorization.

113130122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 113130122224 its reverse (422221031311), we get a palindrome (535351153535).

The spelling of 113130122224 in words is "one hundred thirteen billion, one hundred thirty million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 53 56 68 106 112 119 136 179 212 238 272 358 371 424 476 716 742 848 901 952 1253 1432 1484 1802 1904 2506 2864 2968 3043 3604 5012 5936 6086 6263 6307 7208 9487 10024 12172 12526 12614 14416 18974 20048 21301 24344 25052 25228 37948 42602 43841 48688 50104 50456 66409 75896 85204 87682 100208 100912 106471 132818 151792 161279 170408 175364 212942 265636 322558 331939 340816 350728 425884 531272 645116 663878 701456 745297 851768 1062544 1121077 1128953 1290232 1327756 1490594 1703536 2242154 2257906 2323573 2580464 2655512 2981188 4484308 4515812 4647146 5311024 5642963 5962376 7847539 8968616 9031624 9294292 11285926 11924752 15695078 17937232 18063248 18588584 19058309 22571852 31390156 37177168 38116618 39500741 45143704 59417081 62780312 76233236 79001482 90287408 118834162 125560624 133408163 152466472 158002964 237668324 266816326 304932944 316005928 415919567 475336648 533632652 632011856 831839134 950673296 1010090377 1067265304 1663678268 2020180754 2134530608 3327356536 4040361508 6654713072 7070632639 8080723016 14141265278 16161446032 28282530556 56565061112 113130122224