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101100011110110 = 2345124814828531
BaseRepresentation
bin10110111111001100101110…
…001111111011111011011110
3111020222001210121021202020000
4112333030232033323323132
5101222410310321010420
6555004412014235130
730203143344251625
oct2677145617737336
9436861717252200
10101100011110110
112a239301666381
12b409a391b5aa6
1344548c831113c
141ad73a396c6bc
15ba4c9b217690
hex5bf32e3fbede

101100011110110 has 40 divisors (see below), whose sum is σ = 271846696542696. Its totient is φ = 26960002962480.

The previous prime is 101100011110019. The next prime is 101100011110123. The reversal of 101100011110110 is 11011110001101.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101100011110092 and 101100011110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62407413456 + ... + 62407415075.

Almost surely, 2101100011110110 is an apocalyptic number.

101100011110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100011110110 is an abundant number, since it is smaller than the sum of its proper divisors (170746685432586).

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

101100011110110 is a wasteful number, since it uses less digits than its factorization.

101100011110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124814828550 (or 124814828541 counting only the distinct ones).

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

Adding to 101100011110110 its reverse (11011110001101), we get a palindrome (112111121111211).

The spelling of 101100011110110 in words is "one hundred one trillion, one hundred billion, eleven million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 124814828531 249629657062 374444485593 624074142655 748888971186 1123333456779 1248148285310 1872222427965 2246666913558 3370000370337 3744444855930 5616667283895 6740000740674 10110001111011 11233334567790 16850001851685 20220002222022 33700003703370 50550005555055 101100011110110