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111000010001 = 1742115509293
BaseRepresentation
bin110011101100000011…
…1011011110100010001
3101121111210002202012112
41213120013123310101
53304312000310001
6122554231235105
711006453342336
oct1473007336421
9347453082175
10111000010001
1143090680461
1219619818a95
13a60c73b7ba
14552dd3498d
152d49ccbcbb
hex19d81dbd11

111000010001 has 8 divisors (see below), whose sum is σ = 117808597224. Its totient is φ = 104222442240.

The previous prime is 111000009971. The next prime is 111000010007. The reversal of 111000010001 is 100010000111.

It can be written as a sum of positive squares in 4 ways, for example, as 27747563776 + 83252446225 = 166576^2 + 288535^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111000010001 is a prime.

It is a Duffinian number.

111000010001 is a modest number, since divided by 10001 gives 1110 as remainder.

It is not an unprimeable number, because it can be changed into a prime (111000010007) 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 7 ways as a sum of consecutive naturals, for example, 7747490 + ... + 7761803.

It is an arithmetic number, because the mean of its divisors is an integer number (14726074653).

Almost surely, 2111000010001 is an apocalyptic number.

It is an amenable number.

111000010001 is a deficient number, since it is larger than the sum of its proper divisors (6808587223).

111000010001 is a wasteful number, since it uses less digits than its factorization.

111000010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15509731.

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

Adding to 111000010001 its reverse (100010000111), we get a palindrome (211010010112).

The spelling of 111000010001 in words is "one hundred eleven billion, ten thousand, one".

Divisors: 1 17 421 7157 15509293 263657981 6529412353 111000010001