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111004112131 = 11671180112763
BaseRepresentation
bin110011101100001011…
…1000101010100000011
3101121112001211011021021
41213120113011110003
53304314023042011
6122554455210311
711006533246033
oct1473027052403
9347461734237
10111004112131
1143092a22450
121961b076997
13a6105469b3
1455306c18c3
152d4a33c471
hex19d85c5503

111004112131 has 16 divisors (see below), whose sum is σ = 122922834048. Its totient is φ = 99390456000.

The previous prime is 111004112113. The next prime is 111004112137. The reversal of 111004112131 is 131211400111.

It is not a de Polignac number, because 111004112131 - 223 = 110995723523 is a prime.

It is a super-2 number, since 2×1110041121312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111004112137) 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, 8690956 + ... + 8703718.

It is an arithmetic number, because the mean of its divisors is an integer number (7682677128).

Almost surely, 2111004112131 is an apocalyptic number.

111004112131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111004112131 is a deficient number, since it is larger than the sum of its proper divisors (11918721917).

111004112131 is a wasteful number, since it uses less digits than its factorization.

111004112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24642.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 111004112131 its reverse (131211400111), we get a palindrome (242215512242).

The spelling of 111004112131 in words is "one hundred eleven billion, four million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 11 67 737 11801 12763 129811 140393 790667 855121 8697337 9406331 150616163 1656777793 10091282921 111004112131