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21012100110300 = 223521311003489659
BaseRepresentation
bin1001100011100010000101…
…10000110101011111011100
32202101201220101101020000010
410301301002300311133130
510223230240112012200
6112404454152003220
74266034300016265
oct461610260653734
982351811336003
1021012100110300
1167711aa800992
122434351990510
13b95581395b50
14528dc370196c
1526688da45150
hex131c42c357dc

21012100110300 has 144 divisors (see below), whose sum is σ = 65477632913280. Its totient is φ = 5171728623360.

The previous prime is 21012100110259. The next prime is 21012100110307. The reversal of 21012100110300 is 301100121012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012100110307) 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, 42666871 + ... + 43156529.

It is an arithmetic number, because the mean of its divisors is an integer number (454705784120).

Almost surely, 221012100110300 is an apocalyptic number.

21012100110300 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 21012100110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32738816456640).

21012100110300 is an abundant number, since it is smaller than the sum of its proper divisors (44465532802980).

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

21012100110300 is a wasteful number, since it uses less digits than its factorization.

21012100110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500692 (or 500685 counting only the distinct ones).

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

Adding to 21012100110300 its reverse (301100121012), we get a palindrome (21313200231312).

The spelling of 21012100110300 in words is "twenty-one trillion, twelve billion, one hundred million, one hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 11003 22006 33009 44012 55015 66018 110030 132036 143039 165045 220060 275075 286078 330090 429117 489659 550150 572156 660180 715195 825225 858234 979318 1100300 1430390 1468977 1650450 1716468 1958636 2145585 2448295 2860780 2937954 3300900 3575975 4291170 4896590 5875908 6365567 7151950 7344885 8582340 9793180 10727925 12241475 12731134 14303900 14689770 19096701 21455850 24482950 25462268 29379540 31827835 36724425 38193402 42911700 48965900 63655670 73448850 76386804 95483505 127311340 146897700 159139175 190967010 318278350 381934020 477417525 636556700 954835050 1909670100 5387717977 10775435954 16163153931 21550871908 26938589885 32326307862 53877179770 64652615724 70040333701 80815769655 107754359540 134692949425 140080667402 161631539310 210121001103 269385898850 280161334804 323263078620 350201668505 404078848275 420242002206 538771797700 700403337010 808157696550 840484004412 1050605005515 1400806674020 1616315393100 1751008342525 2101210011030 3502016685050 4202420022060 5253025027575 7004033370100 10506050055150 21012100110300