Search a number
-
+
113303241424 = 24192353305749
BaseRepresentation
bin110100110000101100…
…1100100001011010000
3101211110022001000202001
41221201121210023100
53324021112211144
6124014545403344
711120521442632
oct1514131441320
9354408030661
10113303241424
11440627a92aa
1219b61039554
13a8b8975729
1456abba4a52
152e320dabd4
hex1a616642d0

113303241424 has 80 divisors (see below), whose sum is σ = 245676240000. Its totient is φ = 50367702528.

The previous prime is 113303241419. The next prime is 113303241433. The reversal of 113303241424 is 424142303311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113303241392 and 113303241401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217702 + ... + 523450.

It is an arithmetic number, because the mean of its divisors is an integer number (3070953000).

Almost surely, 2113303241424 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 113303241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122838120000).

113303241424 is an abundant number, since it is smaller than the sum of its proper divisors (132372998576).

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

113303241424 is a wasteful number, since it uses less digits than its factorization.

113303241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305852 (or 305846 counting only the distinct ones).

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

Adding to 113303241424 its reverse (424142303311), we get a palindrome (537445544735).

The spelling of 113303241424 in words is "one hundred thirteen billion, three hundred three million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 38 46 53 76 92 106 152 184 212 304 368 424 437 848 874 1007 1219 1748 2014 2438 3496 4028 4876 6992 8056 9752 16112 19504 23161 46322 92644 185288 305749 370576 611498 1222996 2445992 4891984 5809231 7032227 11618462 14064454 16204697 23236924 28128908 32409394 46473848 56257816 64818788 92947696 112515632 129637576 133612313 259275152 267224626 307889243 372708031 534449252 615778486 745416062 1068898504 1231556972 1490832124 2137797008 2463113944 2981664248 4926227888 5963328496 7081452589 14162905178 28325810356 56651620712 113303241424