Search a number
-
+
120404314229 is a prime number
BaseRepresentation
bin111000000100010101…
…0000000100001110101
3102111210011221220100112
41300020222000201311
53433042001023404
6131151334152405
711461505533043
oct1601052004165
9374704856315
10120404314229
1147077107411
121b4031b2705
13b47aba9564
145b82d11393
1531ea71c56e
hex1c08a80875

120404314229 has 2 divisors, whose sum is σ = 120404314230. Its totient is φ = 120404314228.

The previous prime is 120404314201. The next prime is 120404314241. The reversal of 120404314229 is 922413404021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65974491025 + 54429823204 = 256855^2 + 233302^2 .

It is a cyclic number.

It is not a de Polignac number, because 120404314229 - 28 = 120404313973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120404314195 and 120404314204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120404314259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60202157114 + 60202157115.

It is an arithmetic number, because the mean of its divisors is an integer number (60202157115).

Almost surely, 2120404314229 is an apocalyptic number.

It is an amenable number.

120404314229 is a deficient number, since it is larger than the sum of its proper divisors (1).

120404314229 is an equidigital number, since it uses as much as digits as its factorization.

120404314229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 120404314229 in words is "one hundred twenty billion, four hundred four million, three hundred fourteen thousand, two hundred twenty-nine".