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213521017 is a prime number
BaseRepresentation
bin11001011101000…
…01001001111001
3112212202222202211
430232201021321
5414130133032
633104255121
75201620153
oct1456411171
9485688684
10213521017
11aa588556
125b6114a1
133530c6c8
1420501ad3
1513b2a747
hexcba1279

213521017 has 2 divisors, whose sum is σ = 213521018. Its totient is φ = 213521016.

The previous prime is 213520981. The next prime is 213521041. The reversal of 213521017 is 710125312.

It is a happy number.

213521017 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 can be written as a sum of positive squares in only one way, i.e., 124010496 + 89510521 = 11136^2 + 9461^2 .

It is a cyclic number.

It is not a de Polignac number, because 213521017 - 27 = 213520889 is a prime.

It is not a weakly prime, because it can be changed into another prime (613521017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106760508 + 106760509.

It is an arithmetic number, because the mean of its divisors is an integer number (106760509).

Almost surely, 2213521017 is an apocalyptic number.

It is an amenable number.

213521017 is a deficient number, since it is larger than the sum of its proper divisors (1).

213521017 is an equidigital number, since it uses as much as digits as its factorization.

213521017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 213521017 is about 14612.3583654385. The cubic root of 213521017 is about 597.6958078621.

Adding to 213521017 its reverse (710125312), we get a palindrome (923646329).

The spelling of 213521017 in words is "two hundred thirteen million, five hundred twenty-one thousand, seventeen".