Search a number
-
+
212133001 is a prime number
BaseRepresentation
bin11001010010011…
…10010010001001
3112210011110202211
430221032102021
5413301224001
633014425121
75154046363
oct1451162211
9483143684
10212133001
11a981a733
125b0621a1
1334c449b2
142025dd33
1513954351
hexca4e489

212133001 has 2 divisors, whose sum is σ = 212133002. Its totient is φ = 212133000.

The previous prime is 212132993. The next prime is 212133011. The reversal of 212133001 is 100331212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205635600 + 6497401 = 14340^2 + 2549^2 .

It is a cyclic number.

It is not a de Polignac number, because 212133001 - 23 = 212132993 is a prime.

It is a super-2 number, since 2×2121330012 = 90000820226532002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212133011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066500 + 106066501.

It is an arithmetic number, because the mean of its divisors is an integer number (106066501).

Almost surely, 2212133001 is an apocalyptic number.

It is an amenable number.

212133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212133001 is an equidigital number, since it uses as much as digits as its factorization.

212133001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 212133001 is about 14564.7863355423. The cubic root of 212133001 is about 596.3978629957.

Adding to 212133001 its reverse (100331212), we get a palindrome (312464213).

The spelling of 212133001 in words is "two hundred twelve million, one hundred thirty-three thousand, one".