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213168041 is a prime number
BaseRepresentation
bin11001011010010…
…10111110101001
3112212010001120122
430231022332221
5414032334131
633052533025
75165620112
oct1455127651
9485101518
10213168041
11aa367339
125b481175
1335217b48
142044d209
1513aaad7b
hexcb4afa9

213168041 has 2 divisors, whose sum is σ = 213168042. Its totient is φ = 213168040.

The previous prime is 213168031. The next prime is 213168101. The reversal of 213168041 is 140861312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120912016 + 92256025 = 10996^2 + 9605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213168041 is a prime.

It is a super-2 number, since 2×2131680412 = 90881227407555362, 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 213168041.

It is not a weakly prime, because it can be changed into another prime (213168031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106584020 + 106584021.

It is an arithmetic number, because the mean of its divisors is an integer number (106584021).

Almost surely, 2213168041 is an apocalyptic number.

It is an amenable number.

213168041 is a deficient number, since it is larger than the sum of its proper divisors (1).

213168041 is an equidigital number, since it uses as much as digits as its factorization.

213168041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 213168041 is about 14600.2753741154. The cubic root of 213168041 is about 597.3662717825.

The spelling of 213168041 in words is "two hundred thirteen million, one hundred sixty-eight thousand, forty-one".