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21320106606 = 23317196431901
BaseRepresentation
bin10011110110110001…
…110000001001101110
32001000211112122002000
4103312301300021232
5322130421402411
613443323513130
71353221626131
oct236661601156
961024478060
1021320106606
11905070a717
1241700887a6
13201a0326c6
14106375c218
1584bacd956
hex4f6c7026e

21320106606 has 128 divisors (see below), whose sum is σ = 52915161600. Its totient is φ = 6323443200.

The previous prime is 21320106571. The next prime is 21320106637. The reversal of 21320106606 is 60660102312.

21320106606 is a `hidden beast` number, since 21 + 3 + 20 + 10 + 6 + 606 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 21320106606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11214256 + ... + 11216156.

It is an arithmetic number, because the mean of its divisors is an integer number (413399700).

Almost surely, 221320106606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320106606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26457580800).

21320106606 is an abundant number, since it is smaller than the sum of its proper divisors (31595054994).

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

21320106606 is a wasteful number, since it uses less digits than its factorization.

21320106606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 21320106606 its reverse (60660102312), we get a palindrome (81980208918).

The spelling of 21320106606 in words is "twenty-one billion, three hundred twenty million, one hundred six thousand, six hundred six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 643 646 918 969 1026 1286 1901 1929 1938 2907 3802 3858 5703 5787 5814 8721 10931 11406 11574 12217 17109 17361 17442 21862 24434 32317 32793 34218 34722 36119 36651 51327 64634 65586 72238 73302 96951 98379 102654 108357 109953 193902 196758 207689 216714 219906 290853 295137 325071 329859 415378 581706 590274 614023 623067 650142 659718 872559 975213 1222343 1228046 1246134 1745118 1842069 1869201 1950426 2444686 3667029 3684138 3738402 5526207 5607603 7334058 11001087 11052414 11215206 16578621 20779831 22002174 23224517 33003261 33157242 41559662 46449034 62339493 66006522 69673551 124678986 139347102 187018479 209020653 374036958 394816789 418041306 561055437 627061959 789633578 1122110874 1184450367 1254123918 2368900734 3553351101 7106702202 10660053303 21320106606