Search a number
-
+
1121312113111 is a prime number
BaseRepresentation
bin10000010100010011011…
…010010000000111010111
310222012022011120021210101
4100110103122100013113
5121332421400104421
62215042414034531
7144004105462051
oct20242332200727
93865264507711
101121312113111
113a2600501013
121613991a8a47
138197c26c4a8
143c3b3b448d1
151e27ba01191
hex105136901d7

1121312113111 has 2 divisors, whose sum is σ = 1121312113112. Its totient is φ = 1121312113110.

The previous prime is 1121312113067. The next prime is 1121312113147. The reversal of 1121312113111 is 1113112131211.

It is a m-pointer prime, because the next prime (1121312113147) can be obtained adding 1121312113111 to its product of digits (36).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1121312113111 - 213 = 1121312104919 is a prime.

It is a super-3 number, since 3×11213121131113 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1121312117111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560656056555 + 560656056556.

It is an arithmetic number, because the mean of its divisors is an integer number (560656056556).

Almost surely, 21121312113111 is an apocalyptic number.

1121312113111 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121312113111 is an equidigital number, since it uses as much as digits as its factorization.

1121312113111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 19.

Adding to 1121312113111 its reverse (1113112131211), we get a palindrome (2234424244322).

It can be divided in two parts, 11213 and 12113111, that added together give a square (12124324 = 34822).

The spelling of 1121312113111 in words is "one trillion, one hundred twenty-one billion, three hundred twelve million, one hundred thirteen thousand, one hundred eleven".