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213120112237 is a prime number
BaseRepresentation
bin1100011001111011110…
…0101101011001101101
3202101002201002102222021
43012132330231121231
511442432222042422
6241523411350141
721253213031044
oct3063674553155
9671081072867
10213120112237
118242482476a
12353795b2351
1317135556bb6
14a45a79555b
1558251eedc7
hex319ef2d66d

213120112237 has 2 divisors, whose sum is σ = 213120112238. Its totient is φ = 213120112236.

The previous prime is 213120112207. The next prime is 213120112243. The reversal of 213120112237 is 732211021312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212614132201 + 505980036 = 461101^2 + 22494^2 .

It is a cyclic number.

It is not a de Polignac number, because 213120112237 - 27 = 213120112109 is a prime.

It is a super-2 number, since 2×2131201122372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213120112207) 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, 106560056118 + 106560056119.

It is an arithmetic number, because the mean of its divisors is an integer number (106560056119).

Almost surely, 2213120112237 is an apocalyptic number.

It is an amenable number.

213120112237 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120112237 is an equidigital number, since it uses as much as digits as its factorization.

213120112237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 213120112237 its reverse (732211021312), we get a palindrome (945331133549).

The spelling of 213120112237 in words is "two hundred thirteen billion, one hundred twenty million, one hundred twelve thousand, two hundred thirty-seven".