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213133003 is a prime number
BaseRepresentation
bin11001011010000…
…10011011001011
3112212001021111221
430231002123023
5414030224003
633052102511
75165413006
oct1455023313
9485037457
10213133003
11aa342a86
125b464a37
1335204c05
142044053d
1513aa07bd
hexcb426cb

213133003 has 2 divisors, whose sum is σ = 213133004. Its totient is φ = 213133002.

The previous prime is 213132991. The next prime is 213133007. The reversal of 213133003 is 300331312.

213133003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213133003 is a prime.

It is not a weakly prime, because it can be changed into another prime (213133007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566501 + 106566502.

It is an arithmetic number, because the mean of its divisors is an integer number (106566502).

Almost surely, 2213133003 is an apocalyptic number.

213133003 is a deficient number, since it is larger than the sum of its proper divisors (1).

213133003 is an equidigital number, since it uses as much as digits as its factorization.

213133003 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 213133003 is about 14599.0754159296. The cubic root of 213133003 is about 597.3335406936. Note that the first 3 decimals are identical.

Adding to 213133003 its reverse (300331312), we get a palindrome (513464315).

The spelling of 213133003 in words is "two hundred thirteen million, one hundred thirty-three thousand, three".