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20100300 = 22352116091
BaseRepresentation
bin100110010101…
…1010011001100
31101211012102120
41030223103030
520121202200
61554452540
7332564313
oct114532314
941735376
1020100300
1110389720
126894150
134219c8c
14295327a
151b709a0
hex132b4cc

20100300 has 72 divisors (see below), whose sum is σ = 63454272. Its totient is φ = 4872000.

The previous prime is 20100299. The next prime is 20100317. The reversal of 20100300 is 300102.

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, 255 + ... + 6345.

Almost surely, 220100300 is an apocalyptic number.

20100300 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 20100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31727136).

20100300 is an abundant number, since it is smaller than the sum of its proper divisors (43353972).

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

20100300 is a wasteful number, since it uses less digits than its factorization.

20100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6112 counting only the distinct ones).

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

The square root of 20100300 is about 4483.3358116474. The cubic root of 20100300 is about 271.8947653750.

Adding to 20100300 its reverse (300102), we get a palindrome (20400402).

The spelling of 20100300 in words is "twenty million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6091 12182 18273 24364 30455 36546 60910 67001 73092 91365 121820 134002 152275 182730 201003 268004 304550 335005 365460 402006 456825 609100 670010 804012 913650 1005015 1340020 1675025 1827300 2010030 3350050 4020060 5025075 6700100 10050150 20100300