Search a number
-
+
111320430 = 235131983181
BaseRepresentation
bin1101010001010…
…01110101101110
321202110122220220
412220221311232
5211444223210
615013552210
72521131234
oct650516556
9252418826
10111320430
1157923761
1231345666
131a0a83a0
1410ada954
159b8dc70
hex6a29d6e

111320430 has 128 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 25505280.

The previous prime is 111320423. The next prime is 111320467. The reversal of 111320430 is 34023111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 614940 + ... + 615120.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2111320430 is an apocalyptic number.

111320430 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 111320430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

111320430 is an abundant number, since it is smaller than the sum of its proper divisors (196885650).

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

111320430 is a wasteful number, since it uses less digits than its factorization.

111320430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 111320430 is about 10550.8497288133. The cubic root of 111320430 is about 481.0515574710.

Adding to 111320430 its reverse (34023111), we get a palindrome (145343541).

The spelling of 111320430 in words is "one hundred eleven million, three hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 83 95 114 130 166 181 190 195 247 249 285 362 390 415 494 498 543 570 741 830 905 1079 1086 1235 1245 1482 1577 1810 2158 2353 2470 2490 2715 3154 3237 3439 3705 4706 4731 5395 5430 6474 6878 7059 7410 7885 9462 10317 10790 11765 14118 15023 15770 16185 17195 20501 20634 23530 23655 30046 32370 34390 35295 41002 44707 45069 47310 51585 61503 70590 75115 89414 90138 102505 103170 123006 134121 150230 195299 205010 223535 225345 268242 285437 307515 390598 447070 450690 570874 585897 615030 670605 856311 976495 1171794 1341210 1427185 1712622 1952990 2854370 2929485 3710681 4281555 5858970 7421362 8563110 11132043 18553405 22264086 37106810 55660215 111320430