Search a number
-
+
220103220321 = 3312764188749
BaseRepresentation
bin1100110011111100101…
…1001001110001100001
3210001010101001002102000
43030333023021301201
512101232411022241
6245040343514213
721621235334535
oct3147713116141
9701111032360
10220103220321
1185388591176
12367a8158969
13179a91c730a
14a91dd95bc5
155ad32cdeb6
hex333f2c9c61

220103220321 has 16 divisors (see below), whose sum is σ = 328646400000. Its totient is φ = 145580080464.

The previous prime is 220103220319. The next prime is 220103220367. The reversal of 220103220321 is 123022301022.

220103220321 is a `hidden beast` number, since 2 + 20 + 1 + 0 + 322 + 0 + 321 = 666.

It is not a de Polignac number, because 220103220321 - 21 = 220103220319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220103220294 and 220103220303.

It is not an unprimeable number, because it can be changed into a prime (220103224321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32090946 + ... + 32097803.

It is an arithmetic number, because the mean of its divisors is an integer number (20540400000).

Almost surely, 2220103220321 is an apocalyptic number.

It is an amenable number.

220103220321 is a deficient number, since it is larger than the sum of its proper divisors (108543179679).

220103220321 is a wasteful number, since it uses less digits than its factorization.

220103220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64188885 (or 64188879 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220103220321 its reverse (123022301022), we get a palindrome (343125521343).

It can be divided in two parts, 22010 and 3220321, that added together give a triangular number (3242331 = T2546).

The spelling of 220103220321 in words is "two hundred twenty billion, one hundred three million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 127 381 1143 3429 64188749 192566247 577698741 1733096223 8151971123 24455913369 73367740107 220103220321