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213213420337 is a prime number
BaseRepresentation
bin1100011010010010000…
…0101001101100110001
3202101100012122222121211
43012210200221230301
511443130113422322
6241540543320121
721255425112241
oct3064440515461
9671305588554
10213213420337
11824724654a5
12353a48b0041
131714b9967a8
14a468d23b21
15582d4d1b77
hex31a4829b31

213213420337 has 2 divisors, whose sum is σ = 213213420338. Its totient is φ = 213213420336.

The previous prime is 213213420311. The next prime is 213213420341. The reversal of 213213420337 is 733024312312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207010440256 + 6202980081 = 454984^2 + 78759^2 .

It is a cyclic number.

It is not a de Polignac number, because 213213420337 - 211 = 213213418289 is a prime.

It is a super-2 number, since 2×2132134203372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213213420299 and 213213420308.

It is not a weakly prime, because it can be changed into another prime (213213420137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106606710168 + 106606710169.

It is an arithmetic number, because the mean of its divisors is an integer number (106606710169).

Almost surely, 2213213420337 is an apocalyptic number.

It is an amenable number.

213213420337 is a deficient number, since it is larger than the sum of its proper divisors (1).

213213420337 is an equidigital number, since it uses as much as digits as its factorization.

213213420337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 31.

Adding to 213213420337 its reverse (733024312312), we get a palindrome (946237732649).

The spelling of 213213420337 in words is "two hundred thirteen billion, two hundred thirteen million, four hundred twenty thousand, three hundred thirty-seven".