Search a number
-
+
113333002212097 is a prime number
BaseRepresentation
bin11001110001001101100101…
…010101101001001100000001
3112212021112021210020011110001
4121301031211111221030001
5104323321442031241342
61041012243520240001
732605016306053153
oct3161154525511401
9485245253204401
10113333002212097
1133125290188618
1210864841170001
134b31343ca23c5
141ddb4bd004ad3
15d180b8abd8b7
hex671365569301

113333002212097 has 2 divisors, whose sum is σ = 113333002212098. Its totient is φ = 113333002212096.

The previous prime is 113333002212037. The next prime is 113333002212113. The reversal of 113333002212097 is 790212200333311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108433880359281 + 4899121852816 = 10413159^2 + 2213396^2 .

It is a cyclic number.

It is not a de Polignac number, because 113333002212097 - 215 = 113333002179329 is a prime.

It is not a weakly prime, because it can be changed into another prime (113333002212037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56666501106048 + 56666501106049.

It is an arithmetic number, because the mean of its divisors is an integer number (56666501106049).

Almost surely, 2113333002212097 is an apocalyptic number.

It is an amenable number.

113333002212097 is a deficient number, since it is larger than the sum of its proper divisors (1).

113333002212097 is an equidigital number, since it uses as much as digits as its factorization.

113333002212097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 113333002212097 in words is "one hundred thirteen trillion, three hundred thirty-three billion, two million, two hundred twelve thousand, ninety-seven".