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213488021 is a prime number
BaseRepresentation
bin11001011100110…
…01000110010101
3112212201022111202
430232121012111
5414123104041
633103442245
75201422025
oct1456310625
9485638452
10213488021
11aa56578a
125b5b6385
13352ca696
14204d3a85
1513b20a9b
hexcb99195

213488021 has 2 divisors, whose sum is σ = 213488022. Its totient is φ = 213488020.

The previous prime is 213488017. The next prime is 213488027. The reversal of 213488021 is 120884312.

213488021 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., 160402225 + 53085796 = 12665^2 + 7286^2 .

It is a cyclic number.

It is not a de Polignac number, because 213488021 - 22 = 213488017 is a prime.

It is a super-2 number, since 2×2134880212 = 91154270220992882, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213488027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106744010 + 106744011.

It is an arithmetic number, because the mean of its divisors is an integer number (106744011).

Almost surely, 2213488021 is an apocalyptic number.

It is an amenable number.

213488021 is a deficient number, since it is larger than the sum of its proper divisors (1).

213488021 is an equidigital number, since it uses as much as digits as its factorization.

213488021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 213488021 is about 14611.2292775112. The cubic root of 213488021 is about 597.6650184078.

The spelling of 213488021 in words is "two hundred thirteen million, four hundred eighty-eight thousand, twenty-one".