Search a number
-
+
113311021120 = 2651122926421
BaseRepresentation
bin110100110000111011…
…1001111100001000000
3101211110211200021110221
41221201313033201000
53324030110133440
6124015424232424
711120644534153
oct1514167174100
9354424607427
10113311021120
1144067132300
1219b6376b714
13a8ba46a7bb
1456acc2bc9a
152e32b25d4a
hex1a61dcf840

113311021120 has 84 divisors (see below), whose sum is σ = 296581164012. Its totient is φ = 41203993600.

The previous prime is 113311021097. The next prime is 113311021123. The reversal of 113311021120 is 21120113311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60193678336 + 53117342784 = 245344^2 + 230472^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 113311021094 and 113311021103.

It is not an unprimeable number, because it can be changed into a prime (113311021123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1424491 + ... + 1501930.

It is an arithmetic number, because the mean of its divisors is an integer number (3530728143).

Almost surely, 2113311021120 is an apocalyptic number.

113311021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113311021120 is an abundant number, since it is smaller than the sum of its proper divisors (183270142892).

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

113311021120 is a wasteful number, since it uses less digits than its factorization.

113311021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926460 (or 2926439 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113311021120 its reverse (21120113311), we get a palindrome (134431134431).

The spelling of 113311021120 in words is "one hundred thirteen billion, three hundred eleven million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 38720 2926421 5852842 11705684 14632105 23411368 29264210 32190631 46822736 58528420 64381262 93645472 117056840 128762524 160953155 187290944 234113680 257525048 321906310 354096941 468227360 515050096 643812620 708193882 936454720 1030100192 1287625240 1416387764 1770484705 2060200384 2575250480 2832775528 3540969410 5150500960 5665551056 7081938820 10301001920 11331102112 14163877640 22662204224 28327755280 56655510560 113311021120