Search a number
-
+
10101111101023 is a prime number
BaseRepresentation
bin1001001011111101100100…
…1000111001011001011111
31022202122201210121101010211
42102333121020321121133
52310444033420213043
633252215242513251
72061531643462345
oct222773110713137
938678653541124
1010101111101023
113244947976828
1211717b5805827
135836b8c04697
1426cc7997b995
15127b469a7a9d
hex92fd923965f

10101111101023 has 2 divisors, whose sum is σ = 10101111101024. Its totient is φ = 10101111101022.

The previous prime is 10101111101009. The next prime is 10101111101033. The reversal of 10101111101023 is 32010111110101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101111101023 - 217 = 10101110969951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101111100994 and 10101111101012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101111101033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555550511 + 5050555550512.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555550512).

Almost surely, 210101111101023 is an apocalyptic number.

10101111101023 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111101023 is an equidigital number, since it uses as much as digits as its factorization.

10101111101023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10101111101023 its reverse (32010111110101), we get a palindrome (42111222211124).

The spelling of 10101111101023 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, twenty-three".