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111001000001 is a prime number
BaseRepresentation
bin110011101100000101…
…1001101100001000001
3101121111211222001020012
41213120023031201001
53304312224000001
6122554304354305
711006464634543
oct1473013154101
9347454861205
10111001000001
1143091197241
121961a015995
13a60c9c72b8
145530111693
152d49e252bb
hex19d82cd841

111001000001 has 2 divisors, whose sum is σ = 111001000002. Its totient is φ = 111001000000.

The previous prime is 111000999997. The next prime is 111001000007. The reversal of 111001000001 is 100000100111.

Adding to 111001000001 its reverse (100000100111), we get a palindrome (211001100112).

It can be divided in two parts, 11100 and 1000001, that added together give a palindrome (1011101).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69655877776 + 41345122225 = 263924^2 + 203335^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001000001 - 22 = 111000999997 is a prime.

It is not a weakly prime, because it can be changed into another prime (111001000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500500000 + 55500500001.

It is an arithmetic number, because the mean of its divisors is an integer number (55500500001).

Almost surely, 2111001000001 is an apocalyptic number.

It is an amenable number.

111001000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001000001 is an equidigital number, since it uses as much as digits as its factorization.

111001000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 111001000001 in words is "one hundred eleven billion, one million, one", and thus it is an aban number.