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21434102300 = 22521322971999
BaseRepresentation
bin10011111101100100…
…100111001000011100
32001022210001012202202
4103331210213020130
5322344112233200
613502515111032
71356104602112
oct237544471034
961283035682
1021434102300
1190a9aa0336
1241a22a2478
132037836690
141074953ab2
15856aea1d5
hex4fd92721c

21434102300 has 72 divisors (see below), whose sum is σ = 50309280000. Its totient is φ = 7879461120.

The previous prime is 21434102269. The next prime is 21434102311. The reversal of 21434102300 is 320143412.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 261701 + ... + 333699.

It is an arithmetic number, because the mean of its divisors is an integer number (698740000).

Almost surely, 221434102300 is an apocalyptic number.

21434102300 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 21434102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25154640000).

21434102300 is an abundant number, since it is smaller than the sum of its proper divisors (28875177700).

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

21434102300 is a wasteful number, since it uses less digits than its factorization.

21434102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72255 (or 72248 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21434102300 its reverse (320143412), we get a palindrome (21754245712).

The spelling of 21434102300 in words is "twenty-one billion, four hundred thirty-four million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 229 260 325 458 650 916 1145 1300 2290 2977 4580 5725 5954 11450 11908 14885 22900 29770 59540 71999 74425 143998 148850 287996 297700 359995 719990 935987 1439980 1799975 1871974 3599950 3743948 4679935 7199900 9359870 16487771 18719740 23399675 32975542 46799350 65951084 82438855 93598700 164877710 214341023 329755420 412194275 428682046 824388550 857364092 1071705115 1648777100 2143410230 4286820460 5358525575 10717051150 21434102300