Search a number
-
+
101110213297 is a prime number
BaseRepresentation
bin101111000101010100…
…0110110101010110001
3100122222112201000120201
41132022220312222301
53124033203311142
6114241022435201
710206414426652
oct1361250665261
9318875630521
10101110213297
1139976096855
1217719732b01
1396c48280a2
144c7269b529
15296b93bab7
hex178aa36ab1

101110213297 has 2 divisors, whose sum is σ = 101110213298. Its totient is φ = 101110213296.

The previous prime is 101110213289. The next prime is 101110213327. The reversal of 101110213297 is 792312011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89186446881 + 11923766416 = 298641^2 + 109196^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110213297 - 23 = 101110213289 is a prime.

It is a super-2 number, since 2×1011102132972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101110213277) 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, 50555106648 + 50555106649.

It is an arithmetic number, because the mean of its divisors is an integer number (50555106649).

Almost surely, 2101110213297 is an apocalyptic number.

It is an amenable number.

101110213297 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110213297 is an equidigital number, since it uses as much as digits as its factorization.

101110213297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 28.

Adding to 101110213297 its reverse (792312011101), we get a palindrome (893422224398).

The spelling of 101110213297 in words is "one hundred one billion, one hundred ten million, two hundred thirteen thousand, two hundred ninety-seven".