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2000512313 is a prime number
BaseRepresentation
bin111011100111101…
…0110010100111001
312011102022112222122
41313033112110321
513044112343223
6530301531025
7100401034262
oct16717262471
95142275878
102000512313
11937267568
12479b73a75
1325b5c65c7
1414d98d969
15ba9645c8
hex773d6539

2000512313 has 2 divisors, whose sum is σ = 2000512314. Its totient is φ = 2000512312.

The previous prime is 2000512309. The next prime is 2000512379. The reversal of 2000512313 is 3132150002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1942341184 + 58171129 = 44072^2 + 7627^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000512313 - 22 = 2000512309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000512291 and 2000512300.

It is not a weakly prime, because it can be changed into another prime (2000512013) 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, 1000256156 + 1000256157.

It is an arithmetic number, because the mean of its divisors is an integer number (1000256157).

Almost surely, 22000512313 is an apocalyptic number.

It is an amenable number.

2000512313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000512313 is an equidigital number, since it uses as much as digits as its factorization.

2000512313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2000512313 is about 44727.0870167061. The cubic root of 2000512313 is about 1260.0286196993.

Adding to 2000512313 its reverse (3132150002), we get a palindrome (5132662315).

The spelling of 2000512313 in words is "two billion, five hundred twelve thousand, three hundred thirteen".