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21330340430 = 257267719151
BaseRepresentation
bin10011110111011000…
…110010101001001110
32001001112210120020112
4103313120302221032
5322141031343210
613444331120022
71353404621300
oct236730625116
961045716215
1021330340430
11905646a523
1241735a3012
13201c1a6819
141064c63970
1584c950d05
hex4f7632a4e

21330340430 has 96 divisors (see below), whose sum is σ = 45973204992. Its totient is φ = 7101864000.

The previous prime is 21330340417. The next prime is 21330340433. The reversal of 21330340430 is 3404303312.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21330340396 and 21330340405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330340433) 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 47 ways as a sum of consecutive naturals, for example, 2326355 + ... + 2335505.

It is an arithmetic number, because the mean of its divisors is an integer number (478887552).

Almost surely, 221330340430 is an apocalyptic number.

21330340430 is an abundant number, since it is smaller than the sum of its proper divisors (24642864562).

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

21330340430 is a wasteful number, since it uses less digits than its factorization.

21330340430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9310 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 21330340430 its reverse (3404303312), we get a palindrome (24734643742).

The spelling of 21330340430 in words is "twenty-one billion, three hundred thirty million, three hundred forty thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 67 70 71 98 134 142 245 335 355 469 490 497 670 710 938 994 2345 2485 3283 3479 4690 4757 4970 6566 6958 9151 9514 16415 17395 18302 23785 32830 33299 34790 45755 47570 64057 66598 91510 128114 166495 233093 320285 332990 448399 466186 613117 640570 649721 896798 1165465 1226234 1299442 2241995 2330930 3065585 3248605 4291819 4483990 4548047 6131170 6497210 8583638 9096094 21459095 22740235 30042733 31836329 42918190 43531307 45480470 60085466 63672658 87062614 150213665 159181645 217656535 300427330 304719149 318363290 435313070 609438298 1523595745 2133034043 3047191490 4266068086 10665170215 21330340430