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212959993 is a prime number
BaseRepresentation
bin11001011000110…
…00001011111001
3112211201111012011
430230120023321
5414004204433
633044245521
75164062421
oct1454301371
9484644164
10212959993
11aa234aa4
125b3a08a1
133517423c
14203d7481
1513a693cd
hexcb182f9

212959993 has 2 divisors, whose sum is σ = 212959994. Its totient is φ = 212959992.

The previous prime is 212959991. The next prime is 212960009. The reversal of 212959993 is 399959212.

It is a happy number.

212959993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208600249 + 4359744 = 14443^2 + 2088^2 .

It is a cyclic number.

It is not a de Polignac number, because 212959993 - 21 = 212959991 is a prime.

Together with 212959991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (212959991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106479996 + 106479997.

It is an arithmetic number, because the mean of its divisors is an integer number (106479997).

Almost surely, 2212959993 is an apocalyptic number.

It is an amenable number.

212959993 is a deficient number, since it is larger than the sum of its proper divisors (1).

212959993 is an equidigital number, since it uses as much as digits as its factorization.

212959993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 393660, while the sum is 49.

The square root of 212959993 is about 14593.1488377252. The cubic root of 212959993 is about 597.1718691079.

The spelling of 212959993 in words is "two hundred twelve million, nine hundred fifty-nine thousand, nine hundred ninety-three".