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20301213020 = 22511279106189
BaseRepresentation
bin10010111010000010…
…111110110101011100
31221101211022110211112
4102322002332311130
5313034102304040
613154245241152
71316040314654
oct227202766534
957354273745
1020301213020
118678561900
123b26a031b8
131bb6c0b8aa
14da82d3364
157dc419365
hex4ba0bed5c

20301213020 has 72 divisors (see below), whose sum is σ = 47454187200. Its totient is φ = 7288744320.

The previous prime is 20301213001. The next prime is 20301213029. The reversal of 20301213020 is 2031210302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20301212986 and 20301213004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301213029) 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 23 ways as a sum of consecutive naturals, for example, 138086 + ... + 244274.

Almost surely, 220301213020 is an apocalyptic number.

20301213020 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 20301213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23727093600).

20301213020 is an abundant number, since it is smaller than the sum of its proper divisors (27152974180).

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

20301213020 is a wasteful number, since it uses less digits than its factorization.

20301213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106299 (or 106286 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20301213020 its reverse (2031210302), we get a palindrome (22332423322).

The spelling of 20301213020 in words is "twenty billion, three hundred one million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 121 158 220 242 316 395 484 605 790 869 1210 1580 1738 2420 3476 4345 8690 9559 17380 19118 38236 47795 95590 106189 191180 212378 424756 530945 1061890 1168079 2123780 2336158 4672316 5840395 8388931 11680790 12848869 16777862 23361580 25697738 33555724 41944655 51395476 64244345 83889310 92278241 128488690 167778620 184556482 256977380 369112964 461391205 922782410 1015060651 1845564820 2030121302 4060242604 5075303255 10150606510 20301213020