Search a number
-
+
113223020130 = 233511101337633
BaseRepresentation
bin110100101110010011…
…1100010111001100010
3101211020201002100211000
41221130213202321202
53323340043121010
6124003002132430
711115525535413
oct1513447427142
9354221070730
10113223020130
1144021496910
1219b3a1b1116
13a8a51686cc
1456a128180a
152e2a0417c0
hex1a5c9e2e62

113223020130 has 128 divisors (see below), whose sum is σ = 329709968640. Its totient is φ = 27420180480.

The previous prime is 113223020129. The next prime is 113223020143. The reversal of 113223020130 is 31020322311.

113223020130 is a `hidden beast` number, since 11 + 322 + 302 + 0 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 2989794 + ... + 3027426.

It is an arithmetic number, because the mean of its divisors is an integer number (2575859130).

Almost surely, 2113223020130 is an apocalyptic number.

113223020130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113223020130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164854984320).

113223020130 is an abundant number, since it is smaller than the sum of its proper divisors (216486948510).

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

113223020130 is a wasteful number, since it uses less digits than its factorization.

113223020130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38673 (or 38667 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113223020130 its reverse (31020322311), we get a palindrome (144243342441).

The spelling of 113223020130 in words is "one hundred thirteen billion, two hundred twenty-three million, twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1013 1485 2026 2970 3039 5065 6078 9117 10130 11143 15195 18234 22286 27351 30390 33429 37633 45585 54702 55715 66858 75266 91170 100287 111430 112899 136755 167145 188165 200574 225798 273510 300861 334290 338697 376330 413963 501435 564495 601722 677394 827926 1002870 1016091 1128990 1241889 1504305 1693485 2032182 2069815 2483778 3008610 3386970 3725667 4139630 5080455 6209445 7451334 10160910 11177001 12418890 18628335 22354002 37256670 38122229 55885005 76244458 111770010 114366687 190611145 228733374 343100061 381222290 419344519 571833435 686200122 838689038 1029300183 1143666870 1258033557 1715500305 2058600366 2096722595 2516067114 3431000610 3774100671 4193445190 5146500915 6290167785 7548201342 10293001830 11322302013 12580335570 18870503355 22644604026 37741006710 56611510065 113223020130