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1000001101110 = 2351122952118233
BaseRepresentation
bin11101000110101001011…
…01011101110100110110
310112121011210111100220220
432203110231131310312
5112341000240213420
62043221050035210
7132150650053164
oct16432455356466
93477153440826
101000001101110
11356109608200
12141982418b06
13733b8592a9b
1436586652234
151b02b8d2840
hexe8d4b5dd36

1000001101110 has 192 divisors, whose sum is σ = 2734373557440. Its totient is φ = 233602969600.

The previous prime is 1000001101097. The next prime is 1000001101117. The reversal of 1000001101110 is 111011000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000001101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54836554 + ... + 54854786.

It is an arithmetic number, because the mean of its divisors is an integer number (14241528945).

Almost surely, 21000001101110 is an apocalyptic number.

1000001101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000001101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367186778720).

1000001101110 is an abundant number, since it is smaller than the sum of its proper divisors (1734372456330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000001101110 is a wasteful number, since it uses less digits than its factorization.

1000001101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18815 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000001101110 its reverse (111011000001), we get a palindrome (1111012101111).

The spelling of 1000001101110 in words is "one trillion, one million, one hundred one thousand, one hundred ten".