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21210301300 = 2252299775401
BaseRepresentation
bin10011110000001110…
…111000001101110100
32000202011220221111211
4103300032320031310
5321414314120200
613424402211204
71350416405056
oct236016701564
960664827454
1021210301300
118aa4731331
12413b353b04
132000367b56
141052d378d6
1584213daba
hex4f03b8374

21210301300 has 72 divisors (see below), whose sum is σ = 48104967960. Its totient is φ = 8107008000.

The previous prime is 21210301279. The next prime is 21210301313. The reversal of 21210301300 is 310301212.

It can be written as a sum of positive squares in 12 ways, for example, as 7236224356 + 13974076944 = 85066^2 + 118212^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243600 + ... + 319000.

It is an arithmetic number, because the mean of its divisors is an integer number (668124555).

Almost surely, 221210301300 is an apocalyptic number.

21210301300 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 21210301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24052483980).

21210301300 is an abundant number, since it is smaller than the sum of its proper divisors (26894666660).

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

21210301300 is a wasteful number, since it uses less digits than its factorization.

21210301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75541 (or 75534 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21210301300 its reverse (310301212), we get a palindrome (21520602512).

The spelling of 21210301300 in words is "twenty-one billion, two hundred ten million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 97 100 116 145 194 290 388 485 580 725 970 1450 1940 2425 2813 2900 4850 5626 9700 11252 14065 28130 56260 70325 75401 140650 150802 281300 301604 377005 754010 1508020 1885025 2186629 3770050 4373258 7313897 7540100 8746516 10933145 14627794 21866290 29255588 36569485 43732580 54665725 73138970 109331450 146277940 182847425 212103013 218662900 365694850 424206026 731389700 848412052 1060515065 2121030130 4242060260 5302575325 10605150650 21210301300