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130031112349 is a prime number
BaseRepresentation
bin111100100011001110…
…1010101000010011101
3110102122002110220202001
41321012131111002131
54112300431043344
6135422510002301
712252202134625
oct1710635250235
9412562426661
10130031112349
115016719a316
122124b1a6391
13c353478bc8
146417687885
1535b095bed4
hex1e4675509d

130031112349 has 2 divisors, whose sum is σ = 130031112350. Its totient is φ = 130031112348.

The previous prime is 130031112331. The next prime is 130031112377. The reversal of 130031112349 is 943211130031.

It is an a-pointer prime, because the next prime (130031112377) can be obtained adding 130031112349 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129769255225 + 261857124 = 360235^2 + 16182^2 .

It is a cyclic number.

It is not a de Polignac number, because 130031112349 - 27 = 130031112221 is a prime.

It is a super-3 number, since 3×1300311123493 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130031112389) 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, 65015556174 + 65015556175.

It is an arithmetic number, because the mean of its divisors is an integer number (65015556175).

Almost surely, 2130031112349 is an apocalyptic number.

It is an amenable number.

130031112349 is a deficient number, since it is larger than the sum of its proper divisors (1).

130031112349 is an equidigital number, since it uses as much as digits as its factorization.

130031112349 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 28.

The spelling of 130031112349 in words is "one hundred thirty billion, thirty-one million, one hundred twelve thousand, three hundred forty-nine".