Search a number
-
+
122003210213 is a prime number
BaseRepresentation
bin111000110011111110…
…1010011111111100101
3102122220121120020022022
41301213331103333211
53444330310211323
6132014132112525
711546232114263
oct1614775237745
9378817506268
10122003210213
11478176a4655
121b78a765745
13b674216961
145c953d9433
153290c9e4c8
hex1c67f53fe5

122003210213 has 2 divisors, whose sum is σ = 122003210214. Its totient is φ = 122003210212.

The previous prime is 122003210171. The next prime is 122003210249. The reversal of 122003210213 is 312012300221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87602976484 + 34400233729 = 295978^2 + 185473^2 .

It is a cyclic number.

It is not a de Polignac number, because 122003210213 - 220 = 122002161637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122003210191 and 122003210200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122003210513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61001605106 + 61001605107.

It is an arithmetic number, because the mean of its divisors is an integer number (61001605107).

Almost surely, 2122003210213 is an apocalyptic number.

It is an amenable number.

122003210213 is a deficient number, since it is larger than the sum of its proper divisors (1).

122003210213 is an equidigital number, since it uses as much as digits as its factorization.

122003210213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122003210213 its reverse (312012300221), we get a palindrome (434015510434).

The spelling of 122003210213 in words is "one hundred twenty-two billion, three million, two hundred ten thousand, two hundred thirteen".