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110012101120 = 29542973477
BaseRepresentation
bin110011001110100111…
…0110111001000000000
3101111221221011202222201
41212131032313020000
53300301044213440
6122312221042544
710643126300455
oct1463516671000
9344857152881
10110012101120
1142723a65939
12193a29b6454
13a4b2b75c2c
145478a5382c
152cdd1d819a
hex199d3b7200

110012101120 has 40 divisors (see below), whose sum is σ = 263771207964. Its totient is φ = 44004839424.

The previous prime is 110012101103. The next prime is 110012101183. The reversal of 110012101120 is 21101210011.

It can be written as a sum of positive squares in 2 ways, for example, as 105214599424 + 4797501696 = 324368^2 + 69264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110012101097 and 110012101106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21484179 + ... + 21489298.

Almost surely, 2110012101120 is an apocalyptic number.

110012101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110012101120 is an abundant number, since it is smaller than the sum of its proper divisors (153759106844).

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

110012101120 is an frugal number, since it uses more digits than its factorization.

110012101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42973500 (or 42973484 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110012101120 its reverse (21101210011), we get a palindrome (131113311131).

The spelling of 110012101120 in words is "one hundred ten billion, twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 42973477 85946954 171893908 214867385 343787816 429734770 687575632 859469540 1375151264 1718939080 2750302528 3437878160 5500605056 6875756320 11001210112 13751512640 22002420224 27503025280 55006050560 110012101120