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113310423424 = 27111941103307
BaseRepresentation
bin110100110000111010…
…0111101100110000000
3101211110210112220121001
41221201310331212000
53324024432022144
6124015403341344
711120636464462
oct1514164754600
9354423486531
10113310423424
1144066864240
1219b63521854
13a8ba2bb733
1456acb14132
152e32a58bd4
hex1a61d3d980

113310423424 has 128 divisors (see below), whose sum is σ = 265542883200. Its totient is φ = 47603404800.

The previous prime is 113310423397. The next prime is 113310423437. The reversal of 113310423424 is 424324013311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 113310423392 and 113310423401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045179 + ... + 1148485.

It is an arithmetic number, because the mean of its divisors is an integer number (2074553775).

Almost surely, 2113310423424 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 113310423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132771441600).

113310423424 is an abundant number, since it is smaller than the sum of its proper divisors (152232459776).

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

113310423424 is a wasteful number, since it uses less digits than its factorization.

113310423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103392 (or 103380 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 113310423424 its reverse (424324013311), we get a palindrome (537634436735).

The spelling of 113310423424 in words is "one hundred thirteen billion, three hundred ten million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 41 44 64 76 82 88 128 152 164 176 209 304 328 352 418 451 608 656 704 779 836 902 1216 1312 1408 1558 1672 1804 2432 2624 3116 3344 3608 5248 6232 6688 7216 8569 12464 13376 14432 17138 24928 26752 28864 34276 49856 57728 68552 99712 103307 137104 206614 274208 413228 548416 826456 1096832 1136377 1652912 1962833 2272754 3305824 3925666 4235587 4545508 6611648 7851332 8471174 9091016 13223296 15702664 16942348 18182032 21591163 31405328 33884696 36364064 43182326 46591457 62810656 67769392 72728128 80476153 86364652 93182914 125621312 135538784 145456256 160952306 172729304 186365828 251242624 271077568 321904612 345458608 372731656 542155136 643809224 690917216 745463312 885237683 1287618448 1381834432 1490926624 1770475366 2575236896 2763668864 2981853248 3540950732 5150473792 5963706496 7081901464 10300947584 14163802928 28327605856 56655211712 113310423424