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213098693 is a prime number
BaseRepresentation
bin11001011001110…
…10000011000101
3112211222112110012
430230322003011
5414023124233
633051240005
75165210663
oct1454720305
9484875405
10213098693
11aa31a225
125b449005
13351c2402
1420431c33
1513a95548
hexcb3a0c5

213098693 has 2 divisors, whose sum is σ = 213098694. Its totient is φ = 213098692.

The previous prime is 213098671. The next prime is 213098713. The reversal of 213098693 is 396890312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199430884 + 13667809 = 14122^2 + 3697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213098693 is a prime.

It is a super-2 number, since 2×2130986932 = 90822105916616498, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213098693.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213098653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106549346 + 106549347.

It is an arithmetic number, because the mean of its divisors is an integer number (106549347).

Almost surely, 2213098693 is an apocalyptic number.

It is an amenable number.

213098693 is a deficient number, since it is larger than the sum of its proper divisors (1).

213098693 is an equidigital number, since it uses as much as digits as its factorization.

213098693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 213098693 is about 14597.9002942204. The cubic root of 213098693 is about 597.3014861966.

The spelling of 213098693 in words is "two hundred thirteen million, ninety-eight thousand, six hundred ninety-three".