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110000000110100 = 22525209132111677
BaseRepresentation
bin11001000000101101011110…
…111011101000111000010100
3112102110220020010202101010212
4121000231132323220320110
5103404220000012010400
61025541145154104552
732112144355455542
oct3100553673507024
9472426203671125
10110000000110100
113205a813405991
12104068a157b158
13494bc5630c5c9
141d24057d6cd92
15cab544735335
hex640b5eee8e14

110000000110100 has 36 divisors (see below), whose sum is σ = 238700571511164. Its totient is φ = 43999894740480.

The previous prime is 110000000110067. The next prime is 110000000110153. The reversal of 110000000110100 is 1011000000011.

It can be written as a sum of positive squares in 6 ways, for example, as 21950200336 + 109978049909764 = 148156^2 + 10487042^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51035462 + ... + 53147138.

Almost surely, 2110000000110100 is an apocalyptic number.

110000000110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000000110100 is an abundant number, since it is smaller than the sum of its proper divisors (128700571401064).

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

110000000110100 is a wasteful number, since it uses less digits than its factorization.

110000000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632604 (or 2632597 counting only the distinct ones).

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

Adding to 110000000110100 its reverse (1011000000011), we get a palindrome (111011000110111).

The spelling of 110000000110100 in words is "one hundred ten trillion, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 520913 1041826 2083652 2111677 2604565 4223354 5209130 8446708 10418260 10558385 13022825 21116770 26045650 42233540 52091300 52791925 105583850 211167700 1100000001101 2200000002202 4400000004404 5500000005505 11000000011010 22000000022020 27500000027525 55000000055050 110000000110100