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220131012289 is a prime number
BaseRepresentation
bin1100110100000011010…
…1001010111011000001
3210001012022100001211011
43031000311022323001
512101312014343124
6245043215320521
721622023505636
oct3150065127301
9701168301734
10220131012289
11853a2243741
12367b5520141
13179b1ba8276
14a92394c18d
155ad596d994
hex3340d4aec1

220131012289 has 2 divisors, whose sum is σ = 220131012290. Its totient is φ = 220131012288.

The previous prime is 220131012251. The next prime is 220131012301. The reversal of 220131012289 is 982210131022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176750453889 + 43380558400 = 420417^2 + 208280^2 .

It is a cyclic number.

It is not a de Polignac number, because 220131012289 - 221 = 220128915137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220131012289.

It is not a weakly prime, because it can be changed into another prime (220131012389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110065506144 + 110065506145.

It is an arithmetic number, because the mean of its divisors is an integer number (110065506145).

Almost surely, 2220131012289 is an apocalyptic number.

It is an amenable number.

220131012289 is a deficient number, since it is larger than the sum of its proper divisors (1).

220131012289 is an equidigital number, since it uses as much as digits as its factorization.

220131012289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 220131012289 in words is "two hundred twenty billion, one hundred thirty-one million, twelve thousand, two hundred eighty-nine".