Search a number
-
+
1121130211131 = 3376618974139
BaseRepresentation
bin10000010100001000100…
…100010110011100111011
310222011211111021201012000
4100110020210112130323
5121332033313224011
62215012355152043
7143666436362430
oct20241044263473
93864744251160
101121130211131
113a251785a3a7
121613482a5623
1381950680998
143c397913b87
151e26aa6e356
hex1050891673b

1121130211131 has 32 divisors (see below), whose sum is σ = 1901081817600. Its totient is φ = 639676556640.

The previous prime is 1121130211127. The next prime is 1121130211181. The reversal of 1121130211131 is 1311120311211.

1121130211131 is a `hidden beast` number, since 11 + 211 + 302 + 11 + 131 = 666.

It is not a de Polignac number, because 1121130211131 - 22 = 1121130211127 is a prime.

It is a super-2 number, since 2×11211302111312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121130211181) 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 in 31 ways as a sum of consecutive naturals, for example, 4362141 + ... + 4611998.

It is an arithmetic number, because the mean of its divisors is an integer number (59408806800).

Almost surely, 21121130211131 is an apocalyptic number.

1121130211131 is a deficient number, since it is larger than the sum of its proper divisors (779951606469).

1121130211131 is an equidigital number, since it uses as much as digits as its factorization.

1121130211131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974816 (or 8974810 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1121130211131 its reverse (1311120311211), we get a palindrome (2432250522342).

The spelling of 1121130211131 in words is "one trillion, one hundred twenty-one billion, one hundred thirty million, two hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 661 1983 4627 5949 13881 17847 41643 124929 8974139 26922417 62818973 80767251 188456919 242301753 565370757 1696112271 5931905879 17795717637 41523341153 53387152911 124570023459 160161458733 373710070377 1121130211131