Search a number
-
+
211210101199073 is a prime number
BaseRepresentation
bin110000000001100000101111…
…000011100001000011100001
31000200211111012002202111112102
4300001200233003201003201
5210140431241401332243
62025112325254540145
762326266126315134
oct6001405703410341
91020744162674472
10211210101199073
1161330778988869
121b831b23667655
1390b1047662a72
143a228a2a2421b
1519640d58ba9b8
hexc0182f0e10e1

211210101199073 has 2 divisors, whose sum is σ = 211210101199074. Its totient is φ = 211210101199072.

The previous prime is 211210101199057. The next prime is 211210101199081. The reversal of 211210101199073 is 370991101012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201155418287329 + 10054682911744 = 14182927^2 + 3170912^2 .

It is a cyclic number.

It is not a de Polignac number, because 211210101199073 - 24 = 211210101199057 is a prime.

It is not a weakly prime, because it can be changed into another prime (211210101199373) 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, 105605050599536 + 105605050599537.

It is an arithmetic number, because the mean of its divisors is an integer number (105605050599537).

Almost surely, 2211210101199073 is an apocalyptic number.

It is an amenable number.

211210101199073 is a deficient number, since it is larger than the sum of its proper divisors (1).

211210101199073 is an equidigital number, since it uses as much as digits as its factorization.

211210101199073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 38.

The spelling of 211210101199073 in words is "two hundred eleven trillion, two hundred ten billion, one hundred one million, one hundred ninety-nine thousand, seventy-three".