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2142286313 is a prime number
BaseRepresentation
bin111111110110000…
…1011000111101001
312112022002102100112
41333230023013221
513341411130223
6552324344105
7104042063456
oct17754130751
95468072315
102142286313
119aa2a0462
124b9545035
13281aa524b
1416473682d
15c811b778
hex7fb0b1e9

2142286313 has 2 divisors, whose sum is σ = 2142286314. Its totient is φ = 2142286312.

The previous prime is 2142286277. The next prime is 2142286339. The reversal of 2142286313 is 3136822412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1696780864 + 445505449 = 41192^2 + 21107^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142286313 - 26 = 2142286249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2142286313.

It is not a weakly prime, because it can be changed into another prime (2142286513) 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, 1071143156 + 1071143157.

It is an arithmetic number, because the mean of its divisors is an integer number (1071143157).

Almost surely, 22142286313 is an apocalyptic number.

It is an amenable number.

2142286313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142286313 is an equidigital number, since it uses as much as digits as its factorization.

2142286313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 32.

The square root of 2142286313 is about 46284.8389108140. The cubic root of 2142286313 is about 1289.1175008940.

The spelling of 2142286313 in words is "two billion, one hundred forty-two million, two hundred eighty-six thousand, three hundred thirteen".