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110020021120 = 275300157283
BaseRepresentation
bin110011001110110110…
…1000100101110000000
3101111222111002011012001
41212131231010232000
53300310111133440
6122313102513344
710643253515032
oct1463555045600
9344874064161
10110020021120
1142728485299
12193a5595854
13a4b46b9b19
145479b15c52
152cddc4eb9a
hex199db44b80

110020021120 has 64 divisors (see below), whose sum is σ = 263108849040. Its totient is φ = 43992576000.

The previous prime is 110020021081. The next prime is 110020021127. The reversal of 110020021120 is 21120020011.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 110020021097 and 110020021106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110020021127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1891999 + ... + 1949281.

Almost surely, 2110020021120 is an apocalyptic number.

110020021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020021120 is an abundant number, since it is smaller than the sum of its proper divisors (153088827920).

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

110020021120 is an equidigital number, since it uses as much as digits as its factorization.

110020021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60303 (or 60291 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110020021120 its reverse (21120020011), we get a palindrome (131140041131).

The spelling of 110020021120 in words is "one hundred ten billion, twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3001 6002 12004 15005 24008 30010 48016 57283 60020 96032 114566 120040 192064 229132 240080 286415 384128 458264 480160 572830 916528 960320 1145660 1833056 1920640 2291320 3666112 4582640 7332224 9165280 18330560 36661120 171906283 343812566 687625132 859531415 1375250264 1719062830 2750500528 3438125660 5501001056 6876251320 11002002112 13752502640 22004004224 27505005280 55010010560 110020021120