Search a number
-
+
213120102197 is a prime number
BaseRepresentation
bin1100011001111011110…
…0101010111100110101
3202101002201001221012102
43012132330222330311
511442432221232242
6241523411231445
721253212656552
oct3063674527465
9671081057172
10213120102197
1182424818172
12353795a8585
1317135552462
14a45a791a29
1558251ebe32
hex319ef2af35

213120102197 has 2 divisors, whose sum is σ = 213120102198. Its totient is φ = 213120102196.

The previous prime is 213120102061. The next prime is 213120102203. The reversal of 213120102197 is 791201021312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146259588721 + 66860513476 = 382439^2 + 258574^2 .

It is a cyclic number.

It is not a de Polignac number, because 213120102197 - 212 = 213120098101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213120102397) 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, 106560051098 + 106560051099.

It is an arithmetic number, because the mean of its divisors is an integer number (106560051099).

Almost surely, 2213120102197 is an apocalyptic number.

It is an amenable number.

213120102197 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120102197 is an equidigital number, since it uses as much as digits as its factorization.

213120102197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 213120102197 in words is "two hundred thirteen billion, one hundred twenty million, one hundred two thousand, one hundred ninety-seven".