Search a number
-
+
113201313330 = 23574216471979
BaseRepresentation
bin110100101101101010…
…0101111011000110010
3101211012012020112200110
41221123110233120302
53323314014011310
6124000505002150
711115143200320
oct1513324573062
9354165215613
10113201313330
1144010210206
1219b32a83356
13a8a0808451
14569c430d10
152e281a4d20
hex1a5b52f632

113201313330 has 128 divisors (see below), whose sum is σ = 311871098880. Its totient is φ = 25760206080.

The previous prime is 113201313319. The next prime is 113201313367. The reversal of 113201313330 is 33313102311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113201313297 and 113201313306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57200281 + ... + 57202259.

It is an arithmetic number, because the mean of its divisors is an integer number (2436492960).

Almost surely, 2113201313330 is an apocalyptic number.

113201313330 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 113201313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155935549440).

113201313330 is an abundant number, since it is smaller than the sum of its proper divisors (198669785550).

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

113201313330 is a wasteful number, since it uses less digits than its factorization.

113201313330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 113201313330 its reverse (33313102311), we get a palindrome (146514415641).

The spelling of 113201313330 in words is "one hundred thirteen billion, two hundred one million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 421 647 842 1263 1294 1941 1979 2105 2526 2947 3235 3882 3958 4210 4529 5894 5937 6315 6470 8841 9058 9705 9895 11874 12630 13587 13853 14735 17682 19410 19790 22645 27174 27706 29470 29685 41559 44205 45290 59370 67935 69265 83118 88410 135870 138530 207795 272387 415590 544774 817161 833159 1280413 1361935 1634322 1666318 1906709 2499477 2560826 2723870 3813418 3841239 4085805 4165795 4998954 5720127 5832113 6402065 7682478 8171610 8331590 8962891 9533545 11440254 11664226 12497385 12804130 17496339 17925782 19067090 19206195 24994770 26888673 28600635 29160565 34992678 38412390 44814455 53777346 57201270 58321130 87481695 89628910 134443365 174963390 268886730 539053873 1078107746 1617161619 2695269365 3234323238 3773377111 5390538730 7546754222 8085808095 11320131333 16171616190 18866885555 22640262666 37733771110 56600656665 113201313330