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21020451300 = 223252157114867
BaseRepresentation
bin10011100100111010…
…101010000111100100
32000020221200120021100
4103210322222013210
5321022213420200
613353501120100
71342622613402
oct234472520744
960227616240
1021020451300
118a07551202
1240a7859030
131c9cc25784
141035a38472
1583063bd00
hex4e4eaa1e4

21020451300 has 108 divisors (see below), whose sum is σ = 65933811216. Its totient is φ = 5601508800.

The previous prime is 21020451271. The next prime is 21020451301. The reversal of 21020451300 is 315402012.

21020451300 is a `hidden beast` number, since 210 + 2 + 0 + 451 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21020451301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1406467 + ... + 1421333.

It is an arithmetic number, because the mean of its divisors is an integer number (610498252).

Almost surely, 221020451300 is an apocalyptic number.

21020451300 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 21020451300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32966905608).

21020451300 is an abundant number, since it is smaller than the sum of its proper divisors (44913359916).

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

21020451300 is a wasteful number, since it uses less digits than its factorization.

21020451300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16458 (or 16448 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 21020451300 its reverse (315402012), we get a palindrome (21335853312).

The spelling of 21020451300 in words is "twenty-one billion, twenty million, four hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1571 3142 4713 6284 7855 9426 14139 14867 15710 18852 23565 28278 29734 31420 39275 44601 47130 56556 59468 70695 74335 78550 89202 94260 117825 133803 141390 148670 157100 178404 223005 235650 267606 282780 297340 353475 371675 446010 471300 535212 669015 706950 743350 892020 1115025 1338030 1413900 1486700 2230050 2676060 3345075 4460100 6690150 13380300 23356057 46712114 70068171 93424228 116780285 140136342 210204513 233560570 280272684 350340855 420409026 467121140 583901425 700681710 840818052 1051022565 1167802850 1401363420 1751704275 2102045130 2335605700 3503408550 4204090260 5255112825 7006817100 10510225650 21020451300