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20013123023120 = 245250164037789
BaseRepresentation
bin1001000110011101010110…
…00101101011000100010000
32121212020100221202011010002
410203032223011223010100
510110343333443214440
6110321522442025132
74133620562621333
oct443165305530420
977766327664102
1020013123023120
116416577229597
1222b28164a81a8
13b222c9cca686
144d28d708c61a
1524a8c1ed9115
hex1233ab16b110

20013123023120 has 20 divisors (see below), whose sum is σ = 46530511028940. Its totient is φ = 8005249209216.

The previous prime is 20013123023071. The next prime is 20013123023123. The reversal of 20013123023120 is 2132032131002.

It can be written as a sum of positive squares in 2 ways, for example, as 6850971214096 + 13162151809024 = 2617436^2 + 3627968^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20013123023092 and 20013123023101.

It is not an unprimeable number, because it can be changed into a prime (20013123023123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 125082018815 + ... + 125082018974.

It is an arithmetic number, because the mean of its divisors is an integer number (2326525551447).

Almost surely, 220013123023120 is an apocalyptic number.

20013123023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013123023120 is an abundant number, since it is smaller than the sum of its proper divisors (26517388005820).

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

20013123023120 is a wasteful number, since it uses less digits than its factorization.

20013123023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250164037802 (or 250164037796 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20013123023120 its reverse (2132032131002), we get a palindrome (22145155154122).

The spelling of 20013123023120 in words is "twenty trillion, thirteen billion, one hundred twenty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 250164037789 500328075578 1000656151156 1250820188945 2001312302312 2501640377890 4002624604624 5003280755780 10006561511560 20013123023120