Search a number
-
+
1131013312223 is a prime number
BaseRepresentation
bin10000011101010101101…
…001011000111011011111
311000010100021002021011012
4100131111221120323133
5122012303401442343
62223325204245435
7144466364350304
oct20352551307337
94003307067135
101131013312223
113a6729590543
121632460a087b
138286708b8b2
143ca543270ab
151e64853a718
hex10755a58edf

1131013312223 has 2 divisors, whose sum is σ = 1131013312224. Its totient is φ = 1131013312222.

The previous prime is 1131013312193. The next prime is 1131013312237. The reversal of 1131013312223 is 3222133101311.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1131013312223 - 210 = 1131013311199 is a prime.

It is a super-2 number, since 2×11310133122232 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1131013312123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 565506656111 + 565506656112.

It is an arithmetic number, because the mean of its divisors is an integer number (565506656112).

Almost surely, 21131013312223 is an apocalyptic number.

1131013312223 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131013312223 is an equidigital number, since it uses as much as digits as its factorization.

1131013312223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1131013312223 its reverse (3222133101311), we get a palindrome (4353146413534).

The spelling of 1131013312223 in words is "one trillion, one hundred thirty-one billion, thirteen million, three hundred twelve thousand, two hundred twenty-three".