Search a number
-
+
220113321003 = 32473911133051
BaseRepresentation
bin1100110011111111000…
…1101011110000101011
3210001011002001020221100
43030333301223300223
512101243002233003
6245041344212443
721621420233562
oct3147761536053
9701132036840
10220113321003
118539325aa44
12367ab60a123
13179ab322954
14a921464bd9
155ad4126ba3
hex333fc6bc2b

220113321003 has 24 divisors (see below), whose sum is σ = 324791640576. Its totient is φ = 143582238000.

The previous prime is 220113320981. The next prime is 220113321007. The reversal of 220113321003 is 300123311022.

220113321003 is a `hidden beast` number, since 220 + 11 + 332 + 100 + 3 = 666.

It is not a de Polignac number, because 220113321003 - 25 = 220113320971 is a prime.

It is a super-3 number, since 3×2201133210033 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220113321007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587828 + ... + 1720878.

It is an arithmetic number, because the mean of its divisors is an integer number (13532985024).

Almost surely, 2220113321003 is an apocalyptic number.

220113321003 is a deficient number, since it is larger than the sum of its proper divisors (104678319573).

220113321003 is a wasteful number, since it uses less digits than its factorization.

220113321003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137015 (or 137012 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220113321003 its reverse (300123311022), we get a palindrome (520236632025).

The spelling of 220113321003 in words is "two hundred twenty billion, one hundred thirteen million, three hundred twenty-one thousand, three".

Divisors: 1 3 9 47 141 423 3911 11733 35199 133051 183817 399153 551451 1197459 1654353 6253397 18760191 56280573 520362461 1561087383 4683262149 24457035667 73371107001 220113321003