Search a number
-
+
2122312121017 = 111357714210611
BaseRepresentation
bin11110111000100011101…
…010001111101010111001
321111220001120200101020021
4132320203222033222321
5234232443400333032
64302550550130441
7306221605244044
oct36704352175271
97456046611207
102122312121017
11749081955720
122a339a050a21
1312519677898a
1474a12cdbc5b
153a315e4b097
hex1ee23a8fab9

2122312121017 has 8 divisors (see below), whose sum is σ = 2315420276832. Its totient is φ = 1929232413600.

The previous prime is 2122312121003. The next prime is 2122312121057. The reversal of 2122312121017 is 7101212132212.

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 2122312121017 - 215 = 2122312088249 is a prime.

It is a super-2 number, since 2×21223121210172 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122312120982 and 2122312121000.

It is not an unprimeable number, because it can be changed into a prime (2122312121057) 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, 6955959 + ... + 7254652.

It is an arithmetic number, because the mean of its divisors is an integer number (289427534604).

Almost surely, 22122312121017 is an apocalyptic number.

It is an amenable number.

2122312121017 is a deficient number, since it is larger than the sum of its proper divisors (193108155815).

2122312121017 is a wasteful number, since it uses less digits than its factorization.

2122312121017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14224199.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 2122312121017 its reverse (7101212132212), we get a palindrome (9223524253229).

The spelling of 2122312121017 in words is "two trillion, one hundred twenty-two billion, three hundred twelve million, one hundred twenty-one thousand, seventeen".

Divisors: 1 11 13577 149347 14210611 156316721 192937465547 2122312121017