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111005231441 = 132837913683
BaseRepresentation
bin110011101100001101…
…1010110100101010001
3101121112010221000200012
41213120123112211101
53304314314401231
6122554535204305
711006545620236
oct1473033264521
9347463830605
10111005231441
11430936173a5
121961b516695
13a610849300
1455308d378d
152d4a4ade2b
hex19d86d6951

111005231441 has 12 divisors (see below), whose sum is σ = 121649150448. Its totient is φ = 101231820144.

The previous prime is 111005231431. The next prime is 111005231479. The reversal of 111005231441 is 144132500111.

It is a de Polignac number, because none of the positive numbers 2k-111005231441 is a prime.

It is a super-2 number, since 2×1110052314412 (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 (111005231431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3942815 + ... + 3970868.

It is an arithmetic number, because the mean of its divisors is an integer number (10137429204).

Almost surely, 2111005231441 is an apocalyptic number.

It is an amenable number.

111005231441 is a deficient number, since it is larger than the sum of its proper divisors (10643919007).

111005231441 is an equidigital number, since it uses as much as digits as its factorization.

111005231441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913792 (or 7913779 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 111005231441 its reverse (144132500111), we get a palindrome (255137731552).

The spelling of 111005231441 in words is "one hundred eleven billion, five million, two hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 13 83 169 1079 14027 7913683 102877879 656835689 1337412427 8538863957 111005231441