Search a number
-
+
3000133114729 is a prime number
BaseRepresentation
bin101011101010000101110…
…111100101101101101001
3101121210212102202012112021
4223222011313211231221
5343123233034132404
610214124144344441
7426516044466502
oct53520567455551
911553772665467
103000133114729
11a57392a25853
12405542615121
13189bb029930a
14a52c8867ba9
155309128a454
hex2ba85de5b69

3000133114729 has 2 divisors, whose sum is σ = 3000133114730. Its totient is φ = 3000133114728.

The previous prime is 3000133114709. The next prime is 3000133114753. The reversal of 3000133114729 is 9274113310003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2558233904704 + 441899210025 = 1599448^2 + 664755^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000133114729 - 229 = 2999596243817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3000133114694 and 3000133114703.

It is not a weakly prime, because it can be changed into another prime (3000133114709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500066557364 + 1500066557365.

It is an arithmetic number, because the mean of its divisors is an integer number (1500066557365).

Almost surely, 23000133114729 is an apocalyptic number.

It is an amenable number.

3000133114729 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000133114729 is an equidigital number, since it uses as much as digits as its factorization.

3000133114729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 3000133114729 in words is "three trillion, one hundred thirty-three million, one hundred fourteen thousand, seven hundred twenty-nine".