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120020132020 = 225229124920981
BaseRepresentation
bin110111111000111000…
…0011110000010110100
3102110210102001102102211
41233301300132002310
53431300123211040
6131045251543204
711446132201225
oct1576160360264
9373712042384
10120020132020
114699a265658
121b3165bab04
13b4194158c9
145b47ca724c
1531c6b308ea
hex1bf1c1e0b4

120020132020 has 48 divisors (see below), whose sum is σ = 253357650000. Its totient is φ = 47757864960.

The previous prime is 120020132009. The next prime is 120020132033. The reversal of 120020132020 is 20231020021.

It can be written as a sum of positive squares in 8 ways, for example, as 2567246224 + 117452885796 = 50668^2 + 342714^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5709930 + ... + 5730910.

It is an arithmetic number, because the mean of its divisors is an integer number (5278284375).

Almost surely, 2120020132020 is an apocalyptic number.

120020132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020132020 is an abundant number, since it is smaller than the sum of its proper divisors (133337517980).

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

120020132020 is a wasteful number, since it uses less digits than its factorization.

120020132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22468 (or 22466 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 120020132020 its reverse (20231020021), we get a palindrome (140251152041).

The spelling of 120020132020 in words is "one hundred twenty billion, twenty million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 1249 2290 2498 4580 4996 6245 12490 20981 24980 41962 83924 104905 209810 286021 419620 572042 1144084 1430105 2860210 4804649 5720420 9609298 19218596 24023245 26205269 48046490 52410538 96092980 104821076 131026345 262052690 524105380 6001006601 12002013202 24004026404 30005033005 60010066010 120020132020