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2261127829 is a prime number
BaseRepresentation
bin1000011011000110…
…0001001010010101
312211120201012021011
42012301201022111
514112322042304
61012211452221
7110014161262
oct20661411225
95746635234
102261127829
11a60390894
125312b7071
132a05b4a7c
14176430269
15d3793c04
hex86c61295

2261127829 has 2 divisors, whose sum is σ = 2261127830. Its totient is φ = 2261127828.

The previous prime is 2261127811. The next prime is 2261127863. The reversal of 2261127829 is 9287211622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2248182225 + 12945604 = 47415^2 + 3598^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261127829 - 25 = 2261127797 is a prime.

It is a super-2 number, since 2×22611278292 = 10225398118156506482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261127791 and 2261127800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2261127899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130563914 + 1130563915.

It is an arithmetic number, because the mean of its divisors is an integer number (1130563915).

Almost surely, 22261127829 is an apocalyptic number.

It is an amenable number.

2261127829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261127829 is an equidigital number, since it uses as much as digits as its factorization.

2261127829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 40.

The square root of 2261127829 is about 47551.3178471428. The cubic root of 2261127829 is about 1312.5273797947.

The spelling of 2261127829 in words is "two billion, two hundred sixty-one million, one hundred twenty-seven thousand, eight hundred twenty-nine".