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124111114020 = 22325689506189
BaseRepresentation
bin111001110010110011…
…0010100111100100100
3102212100111221211201200
41303211212110330210
54013134421122040
6133003231522500
711652406030365
oct1634546247444
9385314854650
10124111114020
11486a9540a13
1220078689430
13b91bb4120a
146015341b6c
153365d78630
hex1ce5994f24

124111114020 has 36 divisors (see below), whose sum is σ = 376470379740. Its totient is φ = 33096297024.

The previous prime is 124111114019. The next prime is 124111114033. The reversal of 124111114020 is 20411111421.

124111114020 is a `hidden beast` number, since 1 + 241 + 11 + 11 + 402 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37113251904 + 86997862116 = 192648^2 + 294954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 124111113984 and 124111114002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344752915 + ... + 344753274.

Almost surely, 2124111114020 is an apocalyptic number.

124111114020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124111114020 is an abundant number, since it is smaller than the sum of its proper divisors (252359265720).

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

124111114020 is a wasteful number, since it uses less digits than its factorization.

124111114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689506204 (or 689506199 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 124111114020 its reverse (20411111421), we get a palindrome (144522225441).

The spelling of 124111114020 in words is "one hundred twenty-four billion, one hundred eleven million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 689506189 1379012378 2068518567 2758024756 3447530945 4137037134 6205555701 6895061890 8274074268 10342592835 12411111402 13790123780 20685185670 24822222804 31027778505 41370371340 62055557010 124111114020