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2033763313 is a prime number
BaseRepresentation
bin111100100111000…
…1100001111110001
312020201212212210011
41321032030033301
513131120411223
6533450334521
7101253463051
oct17116141761
95221785704
102033763313
1195400852a
1248912a441
1326546925a
14154167561
15bd83180d
hex7938c3f1

2033763313 has 2 divisors, whose sum is σ = 2033763314. Its totient is φ = 2033763312.

The previous prime is 2033763307. The next prime is 2033763323. The reversal of 2033763313 is 3133673302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1490500449 + 543262864 = 38607^2 + 23308^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033763313 - 213 = 2033755121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2033763323) 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, 1016881656 + 1016881657.

It is an arithmetic number, because the mean of its divisors is an integer number (1016881657).

Almost surely, 22033763313 is an apocalyptic number.

It is an amenable number.

2033763313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033763313 is an equidigital number, since it uses as much as digits as its factorization.

2033763313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 31.

The square root of 2033763313 is about 45097.2650279371. The cubic root of 2033763313 is about 1266.9713752239.

The spelling of 2033763313 in words is "two billion, thirty-three million, seven hundred sixty-three thousand, three hundred thirteen".