Search a number
-
+
120333003029 is a prime number
BaseRepresentation
bin111000000010001100…
…1111110100100010101
3102111121012202220202222
41300010121332210111
53432420222044104
6131140305512125
711456651435501
oct1600431764425
9374535686688
10120333003029
114703a930238
121b3a3342645
13b46919bc95
145b7766b301
1531e43331be
hex1c0467e915

120333003029 has 2 divisors, whose sum is σ = 120333003030. Its totient is φ = 120333003028.

The previous prime is 120333002987. The next prime is 120333003053. The reversal of 120333003029 is 920300333021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119639892100 + 693110929 = 345890^2 + 26327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120333003029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120333002989 and 120333003007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120333005029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60166501514 + 60166501515.

It is an arithmetic number, because the mean of its divisors is an integer number (60166501515).

Almost surely, 2120333003029 is an apocalyptic number.

It is an amenable number.

120333003029 is a deficient number, since it is larger than the sum of its proper divisors (1).

120333003029 is an equidigital number, since it uses as much as digits as its factorization.

120333003029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

The spelling of 120333003029 in words is "one hundred twenty billion, three hundred thirty-three million, three thousand, twenty-nine".