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2280564101 is a prime number
BaseRepresentation
bin1000011111101110…
…1010010110000101
312212221021122211002
42013323222112011
514132311022401
61014144223045
7110341321634
oct20773522605
95787248732
102280564101
11a70356622
1253790aa85
132a462b71a
14178c4d51b
15d5332a6b
hex87eea585

2280564101 has 2 divisors, whose sum is σ = 2280564102. Its totient is φ = 2280564100.

The previous prime is 2280564071. The next prime is 2280564107. The reversal of 2280564101 is 1014650822.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1173405025 + 1107159076 = 34255^2 + 33274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2280564101 is a prime.

It is a super-3 number, since 3×22805641013 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2280564107) 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, 1140282050 + 1140282051.

It is an arithmetic number, because the mean of its divisors is an integer number (1140282051).

Almost surely, 22280564101 is an apocalyptic number.

It is an amenable number.

2280564101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2280564101 is an equidigital number, since it uses as much as digits as its factorization.

2280564101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2280564101 is about 47755.2520776511. The cubic root of 2280564101 is about 1316.2774097376.

The spelling of 2280564101 in words is "two billion, two hundred eighty million, five hundred sixty-four thousand, one hundred one".