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10011101000110 = 2571271126108099
BaseRepresentation
bin1001000110101110010000…
…0111100111000110101110
31022110001101211201111011121
42101223210013213012232
52303010213324000420
633143011502011154
72052164262316150
oct221534407470656
938401354644147
1010011101000110
11320a758586781
121158275576aba
13578072c86942
1426877b5b0ad0
151256297d32aa
hex91ae41e71ae

10011101000110 has 32 divisors (see below), whose sum is σ = 20756424499200. Its totient is φ = 3405350888352.

The previous prime is 10011101000107. The next prime is 10011101000143. The reversal of 10011101000110 is 1100010111001.

It is a happy number.

10011101000110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10011101000093 and 10011101000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563045160 + ... + 563062939.

It is an arithmetic number, because the mean of its divisors is an integer number (648638265600).

Almost surely, 210011101000110 is an apocalyptic number.

10011101000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011101000110 is an abundant number, since it is smaller than the sum of its proper divisors (10745323499090).

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

10011101000110 is a wasteful number, since it uses less digits than its factorization.

10011101000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126108240.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10011101000110 its reverse (1100010111001), we get a palindrome (11111111111111).

The spelling of 10011101000110 in words is "ten trillion, eleven billion, one hundred one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 70 127 254 635 889 1270 1778 4445 8890 1126108099 2252216198 5630540495 7882756693 11261080990 15765513386 39413783465 78827566930 143015728573 286031457146 715078642865 1001110100011 1430157285730 2002220200022 5005550500055 10011101000110