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30331613041 is a prime number
BaseRepresentation
bin11100001111111001…
…111010111101110001
32220021212021120221121
4130033321322331301
5444104343104131
621533435422241
72122434312502
oct341771727561
986255246847
1030331613041
111195544a8a4
125a65bb4981
132b24cb1132
14167a4caba9
15bc7cce911
hex70fe7af71

30331613041 has 2 divisors, whose sum is σ = 30331613042. Its totient is φ = 30331613040.

The previous prime is 30331613029. The next prime is 30331613047. The reversal of 30331613041 is 14031613303.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29412250000 + 919363041 = 171500^2 + 30321^2 .

It is a cyclic number.

It is not a de Polignac number, because 30331613041 - 211 = 30331610993 is a prime.

It is a super-2 number, since 2×303316130412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30331612997 and 30331613015.

It is not a weakly prime, because it can be changed into another prime (30331613047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15165806520 + 15165806521.

It is an arithmetic number, because the mean of its divisors is an integer number (15165806521).

Almost surely, 230331613041 is an apocalyptic number.

It is an amenable number.

30331613041 is a deficient number, since it is larger than the sum of its proper divisors (1).

30331613041 is an equidigital number, since it uses as much as digits as its factorization.

30331613041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 30331613041 in words is "thirty billion, three hundred thirty-one million, six hundred thirteen thousand, forty-one".