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110020001112 = 2333776919461
BaseRepresentation
bin110011001110110110…
…0111111110101011000
3101111222111001010202000
41212131230333311120
53300310110013422
6122313102241000
710643253402510
oct1463554776530
9344874033660
10110020001112
114272847125a
12193a5586160
13a4b46b0998
145479b0c840
152cddc48cac
hex199db3fd58

110020001112 has 128 divisors (see below), whose sum is σ = 349352179200. Its totient is φ = 31426876800.

The previous prime is 110020001071. The next prime is 110020001137. The reversal of 110020001112 is 211100020011.

It is a happy number.

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 = 110020001094 and 110020001103.

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 31 ways as a sum of consecutive naturals, for example, 11624062 + ... + 11633522.

It is an arithmetic number, because the mean of its divisors is an integer number (2729313900).

Almost surely, 2110020001112 is an apocalyptic number.

110020001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110020001112 is an abundant number, since it is smaller than the sum of its proper divisors (239332178088).

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

110020001112 is a wasteful number, since it uses less digits than its factorization.

110020001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17174 (or 17164 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110020001112 its reverse (211100020011), we get a palindrome (321120021123).

The spelling of 110020001112 in words is "one hundred ten billion, twenty million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 7691 9461 15382 18922 23073 28383 30764 37844 46146 53837 56766 61528 66227 69219 75688 85149 92292 107674 113532 132454 138438 161511 170298 184584 198681 207657 215348 227064 255447 264908 276876 323022 340596 397362 415314 430696 484533 510894 529816 553752 596043 646044 681192 794724 830628 969066 1021788 1192086 1292088 1453599 1589448 1661256 1788129 1938132 2043576 2384172 2907198 3576258 3876264 4768344 5814396 7152516 11628792 14305032 72764551 145529102 218293653 291058204 436587306 509351857 582116408 654880959 873174612 1018703714 1309761918 1528055571 1746349224 1964642877 2037407428 2619523836 3056111142 3929285754 4074814856 4584166713 5239047672 6112222284 7858571508 9168333426 12224444568 13752500139 15717143016 18336666852 27505000278 36673333704 55010000556 110020001112