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3001031300213 is a prime number
BaseRepresentation
bin101011101010111011011…
…001111001010001110101
3101121220012000211202101022
4223222323121321101311
5343132103003101323
610214353231510525
7426550232110202
oct53527331712165
911556160752338
103001031300213
11a57803a28901
12405753388445
13189cc43a8b0b
14a5371c70ca9
15530e50594c8
hex2babb679475

3001031300213 has 2 divisors, whose sum is σ = 3001031300214. Its totient is φ = 3001031300212.

The previous prime is 3001031300153. The next prime is 3001031300233. The reversal of 3001031300213 is 3120031301003.

3001031300213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2159377348324 + 841653951889 = 1469482^2 + 917417^2 .

It is a cyclic number.

It is not a de Polignac number, because 3001031300213 - 218 = 3001031038069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3001031300191 and 3001031300200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3001031300233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500515650106 + 1500515650107.

It is an arithmetic number, because the mean of its divisors is an integer number (1500515650107).

Almost surely, 23001031300213 is an apocalyptic number.

It is an amenable number.

3001031300213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001031300213 is an equidigital number, since it uses as much as digits as its factorization.

3001031300213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 3001031300213 its reverse (3120031301003), we get a palindrome (6121062601216).

The spelling of 3001031300213 in words is "three trillion, one billion, thirty-one million, three hundred thousand, two hundred thirteen".