Search a number
-
+
122213521021 is a prime number
BaseRepresentation
bin111000111010001111…
…1100101011001111101
3102200110021022010111111
41301310133211121331
54000243130133041
6132051043522021
711554364534314
oct1616437453175
9380407263444
10122213521021
114791538a239
121b829089311
13b6a8971117
145cb530327b
1532a4493981
hex1c747e567d

122213521021 has 2 divisors, whose sum is σ = 122213521022. Its totient is φ = 122213521020.

The previous prime is 122213521013. The next prime is 122213521037. The reversal of 122213521021 is 120125312221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61739825625 + 60473695396 = 248475^2 + 245914^2 .

It is a cyclic number.

It is not a de Polignac number, because 122213521021 - 23 = 122213521013 is a prime.

It is a super-2 number, since 2×1222135210212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122213520983 and 122213521001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122213521051) 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 as a sum of consecutive naturals, namely, 61106760510 + 61106760511.

It is an arithmetic number, because the mean of its divisors is an integer number (61106760511).

Almost surely, 2122213521021 is an apocalyptic number.

It is an amenable number.

122213521021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122213521021 is an equidigital number, since it uses as much as digits as its factorization.

122213521021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 122213521021 its reverse (120125312221), we get a palindrome (242338833242).

The spelling of 122213521021 in words is "one hundred twenty-two billion, two hundred thirteen million, five hundred twenty-one thousand, twenty-one".