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21021304141300 = 2252613797907589
BaseRepresentation
bin1001100011110011001110…
…10111011011010111110100
32202102121122211101102221011
410301321213113123113310
510223403112330010200
6112413015342202004
74266511341004021
oct461714727332764
982377584342834
1021021304141300
1167750a3188681
1224360a0283304
13b963ba1b2138
14529617c68548
15266c2bac55ba
hex131e675db5f4

21021304141300 has 72 divisors (see below), whose sum is σ = 46376298836280. Its totient is φ = 8268489715200.

The previous prime is 21021304141249. The next prime is 21021304141309. The reversal of 21021304141300 is 314140312012.

It can be written as a sum of positive squares in 12 ways, for example, as 19721184249316 + 1300119891984 = 4440854^2 + 1140228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021304141309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22707906 + ... + 23615494.

It is an arithmetic number, because the mean of its divisors is an integer number (644115261615).

Almost surely, 221021304141300 is an apocalyptic number.

21021304141300 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 21021304141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23188149418140).

21021304141300 is an abundant number, since it is smaller than the sum of its proper divisors (25354994694980).

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

21021304141300 is a wasteful number, since it uses less digits than its factorization.

21021304141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911461 (or 911454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21021304141300 its reverse (314140312012), we get a palindrome (21335444453312).

The spelling of 21021304141300 in words is "twenty-one trillion, twenty-one billion, three hundred four million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 3797 6100 7594 15188 18985 37970 75940 94925 189850 231617 379700 463234 907589 926468 1158085 1815178 2316170 3630356 4537945 4632340 5790425 9075890 11580850 18151780 22689725 23161700 45379450 55362929 90758900 110725858 221451716 276814645 553629290 1107258580 1384073225 2768146450 3446115433 5536292900 6892230866 13784461732 17230577165 34461154330 68922308660 86152885825 172305771650 210213041413 344611543300 420426082826 840852165652 1051065207065 2102130414130 4204260828260 5255326035325 10510652070650 21021304141300