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213442993 is a prime number
BaseRepresentation
bin11001011100011…
…10000110110001
3112212122000202001
430232032012301
5414120133433
633102454001
75201143531
oct1456160661
9485560661
10213442993
11aa534975
125b594301
13352b303a
14204c14c1
1513b1257d
hexcb8e1b1

213442993 has 2 divisors, whose sum is σ = 213442994. Its totient is φ = 213442992.

The previous prime is 213442991. The next prime is 213443011. The reversal of 213442993 is 399244312.

213442993 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., 167650704 + 45792289 = 12948^2 + 6767^2 .

It is a cyclic number.

It is not a de Polignac number, because 213442993 - 21 = 213442991 is a prime.

It is a super-2 number, since 2×2134429932 = 91115822521596098, which contains 22 as substring.

Together with 213442991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (213442991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106721496 + 106721497.

It is an arithmetic number, because the mean of its divisors is an integer number (106721497).

Almost surely, 2213442993 is an apocalyptic number.

It is an amenable number.

213442993 is a deficient number, since it is larger than the sum of its proper divisors (1).

213442993 is an equidigital number, since it uses as much as digits as its factorization.

213442993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46656, while the sum is 37.

The square root of 213442993 is about 14609.6883265866. The cubic root of 213442993 is about 597.6229964517.

The spelling of 213442993 in words is "two hundred thirteen million, four hundred forty-two thousand, nine hundred ninety-three".