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300021002100 = 223252631528299
BaseRepresentation
bin1000101110110101010…
…01010010111101110100
31001200101222110001012200
410113122221102331310
514403420334031400
6345454443144500
730450541304061
oct4273251227564
91050358401180
10300021002100
11106269041506
124a190515130
13223a42a31a1
1410741c4bc68
157c0e45bb00
hex45daa52f74

300021002100 has 108 divisors (see below), whose sum is σ = 941891277600. Its totient is φ = 79878657600.

The previous prime is 300021002081. The next prime is 300021002111. The reversal of 300021002100 is 1200120003.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303751 + ... + 832049.

Almost surely, 2300021002100 is an apocalyptic number.

300021002100 is a gapful number since it is divisible by the number (30) 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 300021002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470945638800).

300021002100 is an abundant number, since it is smaller than the sum of its proper divisors (641870275500).

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

300021002100 is a wasteful number, since it uses less digits than its factorization.

300021002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528950 (or 528940 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 300021002100 its reverse (1200120003), we get a palindrome (301221122103).

The spelling of 300021002100 in words is "three hundred billion, twenty-one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 631 900 1262 1893 2524 3155 3786 5679 6310 7572 9465 11358 12620 15775 18930 22716 28395 31550 37860 47325 56790 63100 94650 113580 141975 189300 283950 528299 567900 1056598 1584897 2113196 2641495 3169794 4754691 5282990 6339588 7924485 9509382 10565980 13207475 15848970 19018764 23773455 26414950 31697940 39622425 47546910 52829900 79244850 95093820 118867275 158489700 237734550 333356669 475469100 666713338 1000070007 1333426676 1666783345 2000140014 3000210021 3333566690 4000280028 5000350035 6000420042 6667133380 8333916725 10000700070 12000840084 15001050105 16667833450 20001400140 25001750175 30002100210 33335666900 50003500350 60004200420 75005250525 100007000700 150010501050 300021002100