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30413700013 is a prime number
BaseRepresentation
bin11100010100110011…
…000011101110101101
32220111120202001002211
4130110303003232231
5444241401400023
621545531050421
72124452120224
oct342463035655
986446661084
1030413700013
1111997816a74
125a895a0a11
132b38cc23c8
141687377cbb
15bd00e6a0d
hex714cc3bad

30413700013 has 2 divisors, whose sum is σ = 30413700014. Its totient is φ = 30413700012.

The previous prime is 30413699999. The next prime is 30413700029. The reversal of 30413700013 is 31000731403.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28765177609 + 1648522404 = 169603^2 + 40602^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30413700013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30413700113) 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, 15206850006 + 15206850007.

It is an arithmetic number, because the mean of its divisors is an integer number (15206850007).

Almost surely, 230413700013 is an apocalyptic number.

It is an amenable number.

30413700013 is a deficient number, since it is larger than the sum of its proper divisors (1).

30413700013 is an equidigital number, since it uses as much as digits as its factorization.

30413700013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The spelling of 30413700013 in words is "thirty billion, four hundred thirteen million, seven hundred thousand, thirteen".