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1100111011110 = 232537679750833
BaseRepresentation
bin10000000000100011101…
…110011101110100100110
310220011120121221201100100
4100000203232131310212
5121011011404323420
62201214540524530
7142323530210046
oct20004356356446
93804517851310
101100111011110
11394610a93311
12159260b50746
137c980aa5917
143b362123726
151d93a5cd190
hex10023b9dd26

1100111011110 has 192 divisors, whose sum is σ = 3012234144192. Its totient is φ = 278269820928.

The previous prime is 1100111011091. The next prime is 1100111011169. The reversal of 1100111011110 is 111101110011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100111011092 and 1100111011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21616254 + ... + 21667086.

It is an arithmetic number, because the mean of its divisors is an integer number (15688719501).

Almost surely, 21100111011110 is an apocalyptic number.

1100111011110 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 1100111011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506117072096).

1100111011110 is an abundant number, since it is smaller than the sum of its proper divisors (1912123133082).

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

1100111011110 is a wasteful number, since it uses less digits than its factorization.

1100111011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51047 (or 51044 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1100111011110 its reverse (111101110011), we get a palindrome (1211212121121).

The spelling of 1100111011110 in words is "one trillion, one hundred billion, one hundred eleven million, eleven thousand, one hundred ten".