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2142663329 is a prime number
BaseRepresentation
bin111111110110110…
…0111001010100001
312112022210120112002
41333231213022201
513342010211304
6552340413345
7104045223602
oct17755471241
95468716462
102142663329
119aa528744
124b96a7255
13281ba7a31
141647d3da9
15c819331e
hex7fb672a1

2142663329 has 2 divisors, whose sum is σ = 2142663330. Its totient is φ = 2142663328.

The previous prime is 2142663319. The next prime is 2142663331. The reversal of 2142663329 is 9233662412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1255993600 + 886669729 = 35440^2 + 29777^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142663329 - 220 = 2141614753 is a prime.

It is a super-2 number, since 2×21426633292 = 9182012282882724482, which contains 22 as substring.

Together with 2142663331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2142663292 and 2142663301.

It is not a weakly prime, because it can be changed into another prime (2142663319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1071331664 + 1071331665.

It is an arithmetic number, because the mean of its divisors is an integer number (1071331665).

Almost surely, 22142663329 is an apocalyptic number.

It is an amenable number.

2142663329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142663329 is an equidigital number, since it uses as much as digits as its factorization.

2142663329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 38.

The square root of 2142663329 is about 46288.9115123698. The cubic root of 2142663329 is about 1289.1931193913.

The spelling of 2142663329 in words is "two billion, one hundred forty-two million, six hundred sixty-three thousand, three hundred twenty-nine".