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111012222101 = 112917456381
BaseRepresentation
bin110011101100011011…
…0000001010010010101
3101121112122002012001112
41213120312001102111
53304323112101401
6122555345104405
711006662214204
oct1473066012225
9347478065045
10111012222101
1143097561600
1219621928105
13a6121261b1
1455317d323b
152d4ade03bb
hex19d8d81495

111012222101 has 6 divisors (see below), whose sum is σ = 122021698806. Its totient is φ = 100920201800.

The previous prime is 111012222067. The next prime is 111012222103. The reversal of 111012222101 is 101222210111.

It can be written as a sum of positive squares in only one way, i.e., 109328761201 + 1683460900 = 330649^2 + 41030^2 .

It is a de Polignac number, because none of the positive numbers 2k-111012222101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111012222103) 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 5 ways as a sum of consecutive naturals, for example, 458728070 + ... + 458728311.

It is an arithmetic number, because the mean of its divisors is an integer number (20336949801).

Almost surely, 2111012222101 is an apocalyptic number.

111012222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111012222101 is a deficient number, since it is larger than the sum of its proper divisors (11009476705).

111012222101 is an equidigital number, since it uses as much as digits as its factorization.

111012222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917456403 (or 917456392 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111012222101 its reverse (101222210111), we get a palindrome (212234432212).

It can be divided in two parts, 11 and 1012222101, that multiplied together give a palindrome (11134443111).

The spelling of 111012222101 in words is "one hundred eleven billion, twelve million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 11 121 917456381 10092020191 111012222101