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20100332320020 = 22325111668512889
BaseRepresentation
bin1001001000111111110010…
…01010101111010100010100
32122011120110201102110021100
410210133321022233110110
510113310440033220040
6110425544251550100
74143125654460261
oct444377112572424
978146421373240
1020100332320020
11644a559642087
1223076b475b330
13b2a5b78c9234
144d6c0b4a6268
1524ccc8365b30
hex1247f92af514

20100332320020 has 36 divisors (see below), whose sum is σ = 60971008037940. Its totient is φ = 5360088618624.

The previous prime is 20100332320007. The next prime is 20100332320027. The reversal of 20100332320020 is 2002323300102.

It is a happy number.

20100332320020 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 332 + 320 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4731642954756 + 15368689365264 = 2175234^2 + 3920292^2 .

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 = 20100332319975 and 20100332320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100332320027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55834256265 + ... + 55834256624.

It is an arithmetic number, because the mean of its divisors is an integer number (1693639112165).

Almost surely, 220100332320020 is an apocalyptic number.

20100332320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100332320020 is an abundant number, since it is smaller than the sum of its proper divisors (40870675717920).

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

20100332320020 is a wasteful number, since it uses less digits than its factorization.

20100332320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111668512904 (or 111668512899 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20100332320020 its reverse (2002323300102), we get a palindrome (22102655620122).

The spelling of 20100332320020 in words is "twenty trillion, one hundred billion, three hundred thirty-two million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 111668512889 223337025778 335005538667 446674051556 558342564445 670011077334 1005016616001 1116685128890 1340022154668 1675027693335 2010033232002 2233370257780 3350055386670 4020066464004 5025083080005 6700110773340 10050166160010 20100332320020