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110120120020 = 22537148810973
BaseRepresentation
bin110011010001110101…
…0111010111011010100
3101112020110102201001201
41212203222322323110
53301011222320040
6122331040202244
710645610401411
oct1464352727324
9345213381051
10110120120020
1142779a34059
1219413009384
13a4cc366641
145489131108
152ce7923a9a
hex19a3abaed4

110120120020 has 24 divisors (see below), whose sum is σ = 237502314504. Its totient is φ = 42857559936.

The previous prime is 110120120017. The next prime is 110120120039. The reversal of 110120120020 is 20021021011.

It can be written as a sum of positive squares in 4 ways, for example, as 63264322576 + 46855797444 = 251524^2 + 216462^2 .

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 = 110120119979 and 110120120006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74404747 + ... + 74406226.

It is an arithmetic number, because the mean of its divisors is an integer number (9895929771).

Almost surely, 2110120120020 is an apocalyptic number.

110120120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120120020 is an abundant number, since it is smaller than the sum of its proper divisors (127382194484).

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

110120120020 is a wasteful number, since it uses less digits than its factorization.

110120120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148811019 (or 148811017 counting only the distinct ones).

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

Adding to 110120120020 its reverse (20021021011), we get a palindrome (130141141031).

Subtracting from 110120120020 its reverse (20021021011), we obtain a palindrome (90099099009).

The spelling of 110120120020 in words is "one hundred ten billion, one hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 148810973 297621946 595243892 744054865 1488109730 2976219460 5506006001 11012012002 22024024004 27530030005 55060060010 110120120020