Search a number
-
+
132210112230 = 23257316769591
BaseRepresentation
bin111101100100001010…
…1100011011011100110
3110122020221122120122100
41323020111203123212
54131231242042410
6140423025312530
712360201261150
oct1731025433346
9418227576570
10132210112230
1151085186169
1221758a95746
13c60ca36b51
146582c19ad0
15368bdcb8c0
hex1ec85636e6

132210112230 has 96 divisors (see below), whose sum is σ = 405525639168. Its totient is φ = 29244628800.

The previous prime is 132210112213. The next prime is 132210112291. The reversal of 132210112230 is 32211012231.

132210112230 is a `hidden beast` number, since 1 + 322 + 1 + 0 + 112 + 230 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3365266 + ... + 3404325.

It is an arithmetic number, because the mean of its divisors is an integer number (4224225408).

Almost surely, 2132210112230 is an apocalyptic number.

132210112230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132210112230 is an abundant number, since it is smaller than the sum of its proper divisors (273315526938).

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

132210112230 is a wasteful number, since it uses less digits than its factorization.

132210112230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769642 (or 6769639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132210112230 its reverse (32211012231), we get a palindrome (164421124461).

Subtracting from 132210112230 its reverse (32211012231), we obtain a palindrome (99999099999).

It can be divided in two parts, 1322101 and 12230, that added together give a palindrome (1334331).

The spelling of 132210112230 in words is "one hundred thirty-two billion, two hundred ten million, one hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 6769591 13539182 20308773 33847955 40617546 47387137 60926319 67695910 94774274 101543865 121852638 142161411 203087730 209857321 236935685 284322822 304631595 419714642 426484233 473871370 609263190 629571963 710807055 852968466 1049286605 1259143926 1421614110 1469001247 1888715889 2098573210 2132421165 2938002494 3147859815 3777431778 4264842330 4407003741 6295719630 7345006235 8814007482 9443579445 13221011223 14690012470 18887158890 22035018705 26442022446 44070037410 66105056115 132210112230