Search a number
-
+
113353021044 = 223219433382727
BaseRepresentation
bin110100110010001011…
…1011101011001110100
3101211120202201002112200
41221210113131121310
53324121333133134
6124023524344500
711121664532004
oct1514427353164
9354522632480
10113353021044
114408890948a
1219b75845130
13a8c6084723
1456b4642004
152e36670499
hex1a645dd674

113353021044 has 72 divisors (see below), whose sum is σ = 302309192640. Its totient is φ = 35712928512.

The previous prime is 113353021013. The next prime is 113353021069. The reversal of 113353021044 is 440120353311.

It is a happy number.

113353021044 is a `hidden beast` number, since 11 + 335 + 302 + 10 + 4 + 4 = 666.

113353021044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 113353020999 and 113353021017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104809 + ... + 487535.

Almost surely, 2113353021044 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 113353021044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151154596320).

113353021044 is an abundant number, since it is smaller than the sum of its proper divisors (188956171596).

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

113353021044 is a wasteful number, since it uses less digits than its factorization.

113353021044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383189 (or 383184 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 113353021044 its reverse (440120353311), we get a palindrome (553473374355).

The spelling of 113353021044 in words is "one hundred thirteen billion, three hundred fifty-three million, twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 433 684 866 1299 1732 2598 3897 5196 7794 8227 15588 16454 24681 32908 49362 74043 98724 148086 296172 382727 765454 1148181 1530908 2296362 3444543 4592724 6889086 7271813 13778172 14543626 21815439 29087252 43630878 65446317 87261756 130892634 165720791 261785268 331441582 497162373 662883164 994324746 1491487119 1988649492 2982974238 3148695029 5965948476 6297390058 9446085087 12594780116 18892170174 28338255261 37784340348 56676510522 113353021044