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21223101300 = 22352353200407
BaseRepresentation
bin10011110000111111…
…101101001101110100
32000210002000020210220
4103300333231031310
5321431103220200
613425540414340
71350633245622
oct236077551564
960702006726
1021223101300
119000984145
1241436a73b0
132002bca00b
14105490a512
1584331b4a0
hex4f0fed374

21223101300 has 72 divisors (see below), whose sum is σ = 61579766976. Its totient is φ = 5643432960.

The previous prime is 21223101253. The next prime is 21223101311. The reversal of 21223101300 is 310132212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21223101300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5697 + ... + 206103.

Almost surely, 221223101300 is an apocalyptic number.

21223101300 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 21223101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30789883488).

21223101300 is an abundant number, since it is smaller than the sum of its proper divisors (40356665676).

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

21223101300 is a wasteful number, since it uses less digits than its factorization.

21223101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200777 (or 200770 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21223101300 its reverse (310132212), we get a palindrome (21533233512).

The spelling of 21223101300 in words is "twenty-one billion, two hundred twenty-three million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 353 706 1059 1412 1765 2118 3530 4236 5295 7060 8825 10590 17650 21180 26475 35300 52950 105900 200407 400814 601221 801628 1002035 1202442 2004070 2404884 3006105 4008140 5010175 6012210 10020350 12024420 15030525 20040700 30061050 60122100 70743671 141487342 212231013 282974684 353718355 424462026 707436710 848924052 1061155065 1414873420 1768591775 2122310130 3537183550 4244620260 5305775325 7074367100 10611550650 21223101300