Search a number
-
+
10111011100097 is a prime number
BaseRepresentation
bin1001001100100010011100…
…1110011001010111000001
31022210121021202012102210012
42103020213032121113001
52311124322320200342
633300533454114305
72062332165206405
oct223104716312701
938717252172705
1010111011100097
113249068199646
1211736b91ab995
13584605c7aabb
1426d53870d105
15128025bb0b82
hex932273995c1

10111011100097 has 2 divisors, whose sum is σ = 10111011100098. Its totient is φ = 10111011100096.

The previous prime is 10111011100051. The next prime is 10111011100129. The reversal of 10111011100097 is 79000111011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8918817900721 + 1192193199376 = 2986439^2 + 1091876^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111011100097 - 228 = 10110742664641 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111011100007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055505550048 + 5055505550049.

It is an arithmetic number, because the mean of its divisors is an integer number (5055505550049).

Almost surely, 210111011100097 is an apocalyptic number.

It is an amenable number.

10111011100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111011100097 is an equidigital number, since it uses as much as digits as its factorization.

10111011100097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 23.

Adding to 10111011100097 its reverse (79000111011101), we get a palindrome (89111122111198).

The spelling of 10111011100097 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred thousand, ninety-seven".