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1000300020 = 2235731371667
BaseRepresentation
bin111011100111110…
…101110111110100
32120201020111122220
4323213311313310
54022034100040
6243131522340
733534260406
oct7347656764
92521214586
101000300020
11473709235
1223abb93b0
1312c313905
1496bc8b76
155cc402d0
hex3b9f5df4

1000300020 has 96 divisors (see below), whose sum is σ = 2861647488. Its totient is φ = 261015552.

The previous prime is 1000300003. The next prime is 1000300031. The reversal of 1000300020 is 200030001.

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 a junction number, because it is equal to n+sod(n) for n = 1000299981 and 1000300008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599227 + ... + 600893.

It is an arithmetic number, because the mean of its divisors is an integer number (29808828).

Almost surely, 21000300020 is an apocalyptic number.

1000300020 is a gapful number since it is divisible by the number (10) 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 1000300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430823744).

1000300020 is an abundant number, since it is smaller than the sum of its proper divisors (1861347468).

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

1000300020 is a wasteful number, since it uses less digits than its factorization.

1000300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1887 counting only the distinct ones).

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

The square root of 1000300020 is about 31627.5199786515. The cubic root of 1000300020 is about 1000.0999966670.

Adding to 1000300020 its reverse (200030001), we get a palindrome (1200330021).

The spelling of 1000300020 in words is "one billion, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 137 146 219 274 292 365 411 438 548 685 730 822 876 1095 1370 1460 1644 1667 2055 2190 2740 3334 4110 4380 5001 6668 8220 8335 10001 10002 16670 20002 20004 25005 30003 33340 40004 50005 50010 60006 100010 100020 120012 121691 150015 200020 228379 243382 300030 365073 456758 486764 600060 608455 685137 730146 913516 1141895 1216910 1370274 1460292 1825365 2283790 2433820 2740548 3425685 3650730 4567580 6851370 7301460 13702740 16671667 33343334 50015001 66686668 83358335 100030002 166716670 200060004 250075005 333433340 500150010 1000300020