Search a number
-
+
122020331305 = 5166914621969
BaseRepresentation
bin111000110100011111…
…0100111111100101001
3102122221210210002000211
41301220332213330221
53444344201100210
6132015543101121
711546530463065
oct1615076477451
9378853702024
10122020331305
1147826328a14
121b7944417a1
13b67792c892
145c977b4aa5
15329253238a
hex1c68fa7f29

122020331305 has 8 divisors (see below), whose sum is σ = 146512139400. Its totient is φ = 97557770496.

The previous prime is 122020331291. The next prime is 122020331309. The reversal of 122020331305 is 503133020221.

It can be written as a sum of positive squares in 4 ways, for example, as 18224361 + 122002106944 = 4269^2 + 349288^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122020331305 - 211 = 122020329257 is a prime.

It is a super-2 number, since 2×1220203313052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122020331309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7302640 + ... + 7319329.

It is an arithmetic number, because the mean of its divisors is an integer number (18314017425).

Almost surely, 2122020331305 is an apocalyptic number.

It is an amenable number.

122020331305 is a deficient number, since it is larger than the sum of its proper divisors (24491808095).

122020331305 is a wasteful number, since it uses less digits than its factorization.

122020331305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14623643.

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 122020331305 its reverse (503133020221), we get a palindrome (625153351526).

The spelling of 122020331305 in words is "one hundred twenty-two billion, twenty million, three hundred thirty-one thousand, three hundred five".

Divisors: 1 5 1669 8345 14621969 73109845 24404066261 122020331305