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113113121330322 = 23337353757211859
BaseRepresentation
bin11001101110000000110011…
…011010101001010010010010
3112211111111201220120001012000
4121232000303122221102102
5104311221133030032242
61040323241154014430
732553103410311541
oct3156006332512222
9484444656501160
10113113121330322
1133050007157713
121082a0b7577416
134b166a1b84079
141dd09c07a8158
15d124ea0aca4c
hex66e0336a9492

113113121330322 has 128 divisors (see below), whose sum is σ = 259230607891200. Its totient is φ = 36532915550208.

The previous prime is 113113121330273. The next prime is 113113121330329. The reversal of 113113121330322 is 223033121311311.

113113121330322 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 3 + 1 + 2 + 1 + 330 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113113121330329) 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, 533801629 + ... + 534013487.

It is an arithmetic number, because the mean of its divisors is an integer number (2025239124150).

Almost surely, 2113113121330322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113113121330322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129615303945600).

113113121330322 is an abundant number, since it is smaller than the sum of its proper divisors (146117486560878).

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

113113121330322 is a wasteful number, since it uses less digits than its factorization.

113113121330322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213017 (or 213011 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113113121330322 its reverse (223033121311311), we get a palindrome (336146242641633).

The spelling of 113113121330322 in words is "one hundred thirteen trillion, one hundred thirteen billion, one hundred twenty-one million, three hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 353 666 706 757 999 1059 1514 1998 2118 2271 3177 4542 6354 6813 9531 13061 13626 19062 20439 26122 28009 39183 40878 56018 78366 84027 117549 168054 211859 235098 252081 267221 352647 423718 504162 534442 635577 705294 756243 801663 1271154 1512486 1603326 1906731 2404989 3813462 4809978 5720193 7214967 7838783 9887177 11440386 14429934 15677566 19774354 23516349 29661531 47032698 59323062 70549047 74786227 88984593 141098094 149572454 160377263 177969186 211647141 224358681 266953779 320754526 423294282 448717362 481131789 533907558 673076043 962263578 1346152086 1443395367 2019228129 2767090399 2886790734 4038456258 4330186101 5534180798 5933958731 8301271197 8660372202 11867917462 16602542394 17801876193 24903813591 35603752386 49807627182 53405628579 56613173839 74711440773 106811257158 113226347678 149422881546 160216885737 169839521517 320433771474 339679043034 509518564551 1019037129102 1528555693653 2094687432043 3057111387306 4189374864086 6284062296129 12568124592258 18852186888387 37704373776774 56556560665161 113113121330322