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217013681 is a prime number
BaseRepresentation
bin11001110111101…
…01110110110001
3120010100102210202
430323311312301
5421023414211
633311204545
75243404643
oct1473656661
9503312722
10217013681
11101553655
1260816755
1335c63381
1420b70893
15140ba53b
hexcef5db1

217013681 has 2 divisors, whose sum is σ = 217013682. Its totient is φ = 217013680.

The previous prime is 217013651. The next prime is 217013707. The reversal of 217013681 is 186310712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203205025 + 13808656 = 14255^2 + 3716^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-217013681 is a prime.

It is a super-2 number, since 2×2170136812 = 94189875482339522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (217013651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108506840 + 108506841.

It is an arithmetic number, because the mean of its divisors is an integer number (108506841).

Almost surely, 2217013681 is an apocalyptic number.

It is an amenable number.

217013681 is a deficient number, since it is larger than the sum of its proper divisors (1).

217013681 is an equidigital number, since it uses as much as digits as its factorization.

217013681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 217013681 is about 14731.3842187352. The cubic root of 217013681 is about 600.9371290717.

It can be divided in two parts, 2170 and 13681, that added together give a palindrome (15851).

The spelling of 217013681 in words is "two hundred seventeen million, thirteen thousand, six hundred eighty-one".