Search a number
-
+
213115210 = 257211192081
BaseRepresentation
bin11001011001111…
…10000101001010
3112212000101002221
430230332011022
5414024141320
633051444254
75165310100
oct1454760512
9485011087
10213115210
11aa330680
125b45668a
13351c9a99
1420437c70
1513a9a3aa
hexcb3e14a

213115210 has 96 divisors (see below), whose sum is σ = 512671680. Its totient is φ = 62899200.

The previous prime is 213115187. The next prime is 213115211. The reversal of 213115210 is 12511312.

213115210 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213115211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101370 + ... + 103450.

It is an arithmetic number, because the mean of its divisors is an integer number (5340330).

Almost surely, 2213115210 is an apocalyptic number.

213115210 is an abundant number, since it is smaller than the sum of its proper divisors (299556470).

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

213115210 is a wasteful number, since it uses less digits than its factorization.

213115210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 213115210 is about 14598.4660153045. The cubic root of 213115210 is about 597.3169178160.

Adding to 213115210 its reverse (12511312), we get a palindrome (225626522).

The spelling of 213115210 in words is "two hundred thirteen million, one hundred fifteen thousand, two hundred ten".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 49 55 70 77 95 98 110 133 154 190 209 245 266 385 418 490 539 665 770 931 1045 1078 1330 1463 1862 2081 2090 2695 2926 4162 4655 5390 7315 9310 10241 10405 14567 14630 20482 20810 22891 29134 39539 45782 51205 72835 79078 101969 102410 114455 145670 160237 197695 203938 228910 276773 320474 395390 434929 509845 553546 801185 869858 1019690 1121659 1383865 1602370 1937411 2174645 2243318 2767730 3044503 3874822 4349290 5608295 6089006 9687055 11216590 15222515 19374110 21311521 30445030 42623042 106557605 213115210