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110020012120 = 2354016859103
BaseRepresentation
bin110011001110110110…
…1000010100001011000
3101111222111001200211201
41212131231002201120
53300310110341440
6122313102403544
710643253446554
oct1463555024130
9344874050751
10110020012120
1142728479557
12193a55905b4
13a4b46b59b5
145479b12864
152cddc4c19a
hex199db42858

110020012120 has 32 divisors (see below), whose sum is σ = 248162382720. Its totient is φ = 43898252800.

The previous prime is 110020012049. The next prime is 110020012127. The reversal of 110020012120 is 21210020011.

It is a super-3 number, since 3×1100200121203 (a number of 34 digits) contains 333 as substring.

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 = 110020012097 and 110020012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110020012127) 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, 3413512 + ... + 3445591.

It is an arithmetic number, because the mean of its divisors is an integer number (7755074460).

Almost surely, 2110020012120 is an apocalyptic number.

110020012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020012120 is an abundant number, since it is smaller than the sum of its proper divisors (138142370600).

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

110020012120 is a wasteful number, since it uses less digits than its factorization.

110020012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6859515 (or 6859511 counting only the distinct ones).

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

Adding to 110020012120 its reverse (21210020011), we get a palindrome (131230032131).

The spelling of 110020012120 in words is "one hundred ten billion, twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 401 802 1604 2005 3208 4010 8020 16040 6859103 13718206 27436412 34295515 54872824 68591030 137182060 274364120 2750500303 5501000606 11002001212 13752501515 22004002424 27505003030 55010006060 110020012120