Search a number
-
+
221313141210 = 23575917862239
BaseRepresentation
bin1100111000011101001…
…0101000100111011010
3210011020200201102211210
43032013102220213122
512111222131004320
6245400404403550
721663226442640
oct3160722504732
9704220642753
10221313141210
1185949553697
1236a853a65b6
1317b3ca83335
14a9d6949190
155b546290e0
hex33874a89da

221313141210 has 64 divisors (see below), whose sum is σ = 617319014400. Its totient is φ = 49728470592.

The previous prime is 221313141187. The next prime is 221313141211. The reversal of 221313141210 is 12141313122.

221313141210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (221313141211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8918730 + ... + 8943509.

It is an arithmetic number, because the mean of its divisors is an integer number (9645609600).

Almost surely, 2221313141210 is an apocalyptic number.

221313141210 is an abundant number, since it is smaller than the sum of its proper divisors (396005873190).

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

221313141210 is a wasteful number, since it uses less digits than its factorization.

221313141210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17862315.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221313141210 its reverse (12141313122), we get a palindrome (233454454332).

The spelling of 221313141210 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred forty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 4130 6195 12390 17862239 35724478 53586717 89311195 107173434 125035673 178622390 250071346 267933585 375107019 535867170 625178365 750214038 1053872101 1250356730 1875535095 2107744202 3161616303 3751070190 5269360505 6323232606 7377104707 10538721010 14754209414 15808081515 22131314121 31616163030 36885523535 44262628242 73771047070 110656570605 221313141210