Search a number
-
+
120010011110021 is a prime number
BaseRepresentation
bin11011010010011000000010…
…000101001110101010000101
3120201220211211000110010011002
4123102120002011032222011
5111212221000321010041
61103123501001423045
734164302644210634
oct3322300205165205
9521824730403132
10120010011110021
1135269a6168735a
12115628b1a9aa85
1351c6b84507006
14218c73088551b
15dd1b084aa59b
hex6d260214ea85

120010011110021 has 2 divisors, whose sum is σ = 120010011110022. Its totient is φ = 120010011110020.

The previous prime is 120010011109991. The next prime is 120010011110027. The reversal of 120010011110021 is 120011110010021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110550609633025 + 9459401476996 = 10514305^2 + 3075614^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120010011110021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120010011109984 and 120010011110011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120010011110027) 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, 60005005555010 + 60005005555011.

It is an arithmetic number, because the mean of its divisors is an integer number (60005005555011).

Almost surely, 2120010011110021 is an apocalyptic number.

It is an amenable number.

120010011110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

120010011110021 is an equidigital number, since it uses as much as digits as its factorization.

120010011110021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 120010011110021 its reverse (120011110010021), we get a palindrome (240021121120042).

The spelling of 120010011110021 in words is "one hundred twenty trillion, ten billion, eleven million, one hundred ten thousand, twenty-one".