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20001000300 = 22352547121883
BaseRepresentation
bin10010101000001001…
…110000101101101100
31220121220102002101220
4102220021300231230
5311430224002200
613104402503340
71305433461141
oct225011605554
956556362356
1020001000300
118534052616
123a62364b50
131b69968028
14d7a4a63c8
157c0db74a0
hex4a8270b6c

20001000300 has 72 divisors (see below), whose sum is σ = 57975830976. Its totient is φ = 5323805760.

The previous prime is 20001000251. The next prime is 20001000319. The reversal of 20001000300 is 300010002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103159 + ... + 225041.

Almost surely, 220001000300 is an apocalyptic number.

20001000300 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 20001000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28987915488).

20001000300 is an abundant number, since it is smaller than the sum of its proper divisors (37974830676).

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

20001000300 is a wasteful number, since it uses less digits than its factorization.

20001000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122447 (or 122440 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 20001000300 its reverse (300010002), we get a palindrome (20301010302).

The spelling of 20001000300 in words is "twenty billion, one million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 547 1094 1641 2188 2735 3282 5470 6564 8205 10940 13675 16410 27350 32820 41025 54700 82050 121883 164100 243766 365649 487532 609415 731298 1218830 1462596 1828245 2437660 3047075 3656490 6094150 7312980 9141225 12188300 18282450 36564900 66670001 133340002 200010003 266680004 333350005 400020006 666700010 800040012 1000050015 1333400020 1666750025 2000100030 3333500050 4000200060 5000250075 6667000100 10000500150 20001000300