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21342320300 = 2252746765287
BaseRepresentation
bin10011111000000110…
…011111011010101100
32001002101100012112102
4103320012133122230
5322202113222200
613445435554232
71353611505110
oct237006373254
961071305472
1021342320300
119062202144
1241775bb978
13202180c5c2
1410666a1740
1584da1a6d5
hex4f819f6ac

21342320300 has 72 divisors (see below), whose sum is σ = 53043105024. Its totient is φ = 7301586240.

The previous prime is 21342320297. The next prime is 21342320303. The reversal of 21342320300 is 302324312.

It is an interprime number because it is at equal distance from previous prime (21342320297) and next prime (21342320303).

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

It is not an unprimeable number, because it can be changed into a prime (21342320303) 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 23 ways as a sum of consecutive naturals, for example, 294257 + ... + 359543.

It is an arithmetic number, because the mean of its divisors is an integer number (736709792).

Almost surely, 221342320300 is an apocalyptic number.

21342320300 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 21342320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26521552512).

21342320300 is an abundant number, since it is smaller than the sum of its proper divisors (31700784724).

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

21342320300 is a wasteful number, since it uses less digits than its factorization.

21342320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65775 (or 65768 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 21342320300 its reverse (302324312), we get a palindrome (21644644612).

The spelling of 21342320300 in words is "twenty-one billion, three hundred forty-two million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 467 700 934 1868 2335 3269 4670 6538 9340 11675 13076 16345 23350 32690 46700 65287 65380 81725 130574 163450 261148 326435 326900 457009 652870 914018 1305740 1632175 1828036 2285045 3264350 4570090 6528700 9140180 11425225 22850450 30489029 45700900 60978058 121956116 152445145 213423203 304890290 426846406 609780580 762225725 853692812 1067116015 1524451450 2134232030 3048902900 4268464060 5335580075 10671160150 21342320300