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218084734321 is a prime number
BaseRepresentation
bin1100101100011011011…
…1001111010101110001
3202211220200220101011021
43023012313033111301
512033114142444241
6244104200415441
721520225440646
oct3130667172561
9684820811137
10218084734321
1184542168823
1236324177581
1317746c799bc
14a7abc87dcd
155a15eb90d1
hex32c6dcf571

218084734321 has 2 divisors, whose sum is σ = 218084734322. Its totient is φ = 218084734320.

The previous prime is 218084734291. The next prime is 218084734349. The reversal of 218084734321 is 123437480812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188560903696 + 29523830625 = 434236^2 + 171825^2 .

It is a cyclic number.

It is not a de Polignac number, because 218084734321 - 25 = 218084734289 is a prime.

It is a super-2 number, since 2×2180847343212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (218084734421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109042367160 + 109042367161.

It is an arithmetic number, because the mean of its divisors is an integer number (109042367161).

Almost surely, 2218084734321 is an apocalyptic number.

It is an amenable number.

218084734321 is a deficient number, since it is larger than the sum of its proper divisors (1).

218084734321 is an equidigital number, since it uses as much as digits as its factorization.

218084734321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 218084734321 in words is "two hundred eighteen billion, eighty-four million, seven hundred thirty-four thousand, three hundred twenty-one".