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20301300 = 22335273103
BaseRepresentation
bin100110101110…
…0010111110100
31102012102011000
41031130113310
520144120200
62003043300
7334362315
oct115342764
942172130
1020301300
1110506738
126970530
13428a606
1429a660c
151bb0300
hex135c5f4

20301300 has 144 divisors (see below), whose sum is σ = 66801280. Its totient is φ = 5287680.

The previous prime is 20301287. The next prime is 20301301. The reversal of 20301300 is 310302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197049 + ... + 197151.

Almost surely, 220301300 is an apocalyptic number.

20301300 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 20301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33400640).

20301300 is an abundant number, since it is smaller than the sum of its proper divisors (46499980).

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

20301300 is a wasteful number, since it uses less digits than its factorization.

20301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20301300 is about 4505.6963945654. The cubic root of 20301300 is about 272.7980634417.

Adding to 20301300 its reverse (310302), we get a palindrome (20611602).

The spelling of 20301300 in words is "twenty million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 73 75 90 100 103 108 135 146 150 180 206 219 225 270 292 300 309 365 412 438 450 515 540 618 657 675 730 876 900 927 1030 1095 1236 1314 1350 1460 1545 1825 1854 1971 2060 2190 2575 2628 2700 2781 3090 3285 3650 3708 3942 4380 4635 5150 5475 5562 6180 6570 7300 7519 7725 7884 9270 9855 10300 10950 11124 13140 13905 15038 15450 16425 18540 19710 21900 22557 23175 27810 30076 30900 32850 37595 39420 45114 46350 49275 55620 65700 67671 69525 75190 90228 92700 98550 112785 135342 139050 150380 187975 197100 203013 225570 270684 278100 338355 375950 406026 451140 563925 676710 751900 812052 1015065 1127850 1353420 1691775 2030130 2255700 3383550 4060260 5075325 6767100 10150650 20301300