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21423415300 = 22527174314177
BaseRepresentation
bin10011111100111011…
…110110000000000100
32001022000221020221221
4103330323312000010
5322333343242200
613501454050124
71355615011510
oct237473660004
961260836857
1021423415300
1190a3a61001
12419a7a9944
132035564201
141073371140
15855bd891a
hex4fcef6004

21423415300 has 144 divisors (see below), whose sum is σ = 56399390208. Its totient is φ = 6895411200.

The previous prime is 21423415291. The next prime is 21423415301. The reversal of 21423415300 is 351432412.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21423415301) 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 47 ways as a sum of consecutive naturals, for example, 5126812 + ... + 5130988.

It is an arithmetic number, because the mean of its divisors is an integer number (391662432).

Almost surely, 221423415300 is an apocalyptic number.

21423415300 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 21423415300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28199695104).

21423415300 is an abundant number, since it is smaller than the sum of its proper divisors (34975974908).

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

21423415300 is a wasteful number, since it uses less digits than its factorization.

21423415300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 21423415300 its reverse (351432412), we get a palindrome (21774847712).

The spelling of 21423415300 in words is "twenty-one billion, four hundred twenty-three million, four hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 431 476 595 700 850 862 1190 1700 1724 2155 2380 2975 3017 4177 4310 5950 6034 7327 8354 8620 10775 11900 12068 14654 15085 16708 20885 21550 29239 29308 30170 36635 41770 43100 51289 58478 60340 71009 73270 75425 83540 102578 104425 116956 142018 146195 146540 150850 183175 205156 208850 256445 284036 292390 301700 355045 366350 417700 497063 512890 584780 710090 730975 732700 994126 1025780 1282225 1420180 1461950 1775225 1800287 1988252 2485315 2564450 2923900 3550450 3600574 4970630 5128900 7100900 7201148 9001435 9941260 12426575 12602009 18002870 24853150 25204018 30604879 36005740 45007175 49706300 50408036 61209758 63010045 90014350 122419516 126020090 153024395 180028700 214234153 252040180 306048790 315050225 428468306 612097580 630100450 765121975 856936612 1071170765 1260200900 1530243950 2142341530 3060487900 4284683060 5355853825 10711707650 21423415300