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211120201213 is a prime number
BaseRepresentation
bin1100010010011110111…
…1101001110111111101
3202011221022220102210121
43010213233221313331
511424333232414323
6240553130334541
721152520046465
oct3044757516775
9664838812717
10211120201213
1181598938a39
1234abb88a451
1316ba71111ac
14a30ad20ba5
155759858a5d
hex3127be9dfd

211120201213 has 2 divisors, whose sum is σ = 211120201214. Its totient is φ = 211120201212.

The previous prime is 211120201211. The next prime is 211120201247. The reversal of 211120201213 is 312102021112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117222694884 + 93897506329 = 342378^2 + 306427^2 .

It is a cyclic number.

It is not a de Polignac number, because 211120201213 - 21 = 211120201211 is a prime.

It is a super-3 number, since 3×2111202012133 (a number of 35 digits) contains 333 as substring.

Together with 211120201211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211120201211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560100606 + 105560100607.

It is an arithmetic number, because the mean of its divisors is an integer number (105560100607).

Almost surely, 2211120201213 is an apocalyptic number.

It is an amenable number.

211120201213 is a deficient number, since it is larger than the sum of its proper divisors (1).

211120201213 is an equidigital number, since it uses as much as digits as its factorization.

211120201213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211120201213 its reverse (312102021112), we get a palindrome (523222222325).

The spelling of 211120201213 in words is "two hundred eleven billion, one hundred twenty million, two hundred one thousand, two hundred thirteen".