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111132311131 = 1033118833929
BaseRepresentation
bin110011110000000000…
…0000111111001011011
3101121212000001100020101
41213200000013321123
53310044332424011
6123015315040231
711012651026042
oct1474000077133
9347760040211
10111132311131
1143149324236
1219655ba0077
13a630c817aa
145543733559
152d567122c1
hex19e0007e5b

111132311131 has 16 divisors (see below), whose sum is σ = 112728245760. Its totient is φ = 109547363520.

The previous prime is 111132311051. The next prime is 111132311167. The reversal of 111132311131 is 131113231111.

It is a cyclic number.

It is not a de Polignac number, because 111132311131 - 211 = 111132309083 is a prime.

It is a super-4 number, since 4×1111323111314 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111132311099 and 111132311108.

It is not an unprimeable number, because it can be changed into a prime (111132318131) 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 15 ways as a sum of consecutive naturals, for example, 28283175 + ... + 28287103.

It is an arithmetic number, because the mean of its divisors is an integer number (7045515360).

Almost surely, 2111132311131 is an apocalyptic number.

111132311131 is a deficient number, since it is larger than the sum of its proper divisors (1595934629).

111132311131 is a wasteful number, since it uses less digits than its factorization.

111132311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226.

The product of its digits is 54, while the sum is 19.

Adding to 111132311131 its reverse (131113231111), we get a palindrome (242245542242).

The spelling of 111132311131 in words is "one hundred eleven billion, one hundred thirty-two million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 103 311 883 3929 32033 90949 274613 404687 1221919 3469307 28285139 125857657 357338621 1078954477 111132311131