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20321230120 = 2356147917387
BaseRepresentation
bin10010111011001111…
…010101110100101000
31221110012222110010121
4102323033111310220
5313104213330440
613200242253024
71316402414602
oct227317256450
957405873117
1020321230120
118688893a64
123b31657174
131bbb0c9a29
14daac24172
157de07034a
hex4bb3d5d28

20321230120 has 64 divisors (see below), whose sum is σ = 46572019200. Its totient is φ = 7978087680.

The previous prime is 20321230103. The next prime is 20321230123. The reversal of 20321230120 is 2103212302.

It is a junction number, because it is equal to n+sod(n) for n = 20321230094 and 20321230103.

It is not an unprimeable number, because it can be changed into a prime (20321230123) 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 15 ways as a sum of consecutive naturals, for example, 1160067 + ... + 1177453.

It is an arithmetic number, because the mean of its divisors is an integer number (727687800).

Almost surely, 220321230120 is an apocalyptic number.

20321230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23286009600).

20321230120 is an abundant number, since it is smaller than the sum of its proper divisors (26250789080).

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

20321230120 is a wasteful number, since it uses less digits than its factorization.

20321230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17938 (or 17934 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20321230120 its reverse (2103212302), we get a palindrome (22424442422).

It can be divided in two parts, 203212 and 30120, that added together give a palindrome (233332).

The spelling of 20321230120 in words is "twenty billion, three hundred twenty-one million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 479 488 610 958 1220 1916 2395 2440 3832 4790 9580 17387 19160 29219 34774 58438 69548 86935 116876 139096 146095 173870 233752 292190 347740 584380 695480 1060607 1168760 2121214 4242428 5303035 8328373 8484856 10606070 16656746 21212140 33313492 41641865 42424280 66626984 83283730 166567460 333134920 508030753 1016061506 2032123012 2540153765 4064246024 5080307530 10160615060 20321230120