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21410323300 = 225273240177
BaseRepresentation
bin10011111100001001…
…111001101101100100
32001021010022010010001
4103330021321231210
5322322020321200
613500305311044
71355365513432
oct237411715544
961233263101
1021410323300
119097629873
124196335484
13203292c172
141071723d52
1585499e76a
hex4fc279b64

21410323300 has 54 divisors (see below), whose sum is σ = 47106736278. Its totient is φ = 8446602240.

The previous prime is 21410323267. The next prime is 21410323303. The reversal of 21410323300 is 332301412.

It can be written as a sum of positive squares in 9 ways, for example, as 796255524 + 20614067776 = 28218^2 + 143576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21410323303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 512812 + ... + 552988.

Almost surely, 221410323300 is an apocalyptic number.

21410323300 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 21410323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23553368139).

21410323300 is an abundant number, since it is smaller than the sum of its proper divisors (25696412978).

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

21410323300 is a wasteful number, since it uses less digits than its factorization.

21410323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40337 (or 40257 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21410323300 its reverse (332301412), we get a palindrome (21742624712).

The spelling of 21410323300 in words is "twenty-one billion, four hundred ten million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 5329 7300 10658 21316 26645 40177 53290 80354 106580 133225 160708 200885 266450 401770 532900 803540 1004425 2008850 2932921 4017700 5865842 11731684 14664605 29329210 58658420 73323025 146646050 214103233 293292100 428206466 856412932 1070516165 2141032330 4282064660 5352580825 10705161650 21410323300