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21211020006 = 23112194732717
BaseRepresentation
bin10011110000010001…
…100111101011100110
32000202020021110101120
4103300101213223212
5321420010120011
613424425434410
71350425460321
oct236021475346
960666243346
1021211020006
118aa5082300
12413b63ba06
13200055a017
1410530837b8
15842231a06
hex4f0467ae6

21211020006 has 96 divisors (see below), whose sum is σ = 50129210880. Its totient is φ = 5959546560.

The previous prime is 21211019989. The next prime is 21211020119. The reversal of 21211020006 is 60002011212.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631960 + ... + 664676.

It is an arithmetic number, because the mean of its divisors is an integer number (522179280).

Almost surely, 221211020006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211020006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25064605440).

21211020006 is an abundant number, since it is smaller than the sum of its proper divisors (28918190874).

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

21211020006 is a wasteful number, since it uses less digits than its factorization.

21211020006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32810 (or 32799 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21211020006 its reverse (60002011212), we get a palindrome (81213031218).

The spelling of 21211020006 in words is "twenty-one billion, two hundred eleven million, twenty thousand, six".

Divisors: 1 2 3 6 11 19 22 33 38 47 57 66 94 114 121 141 209 242 282 363 418 517 627 726 893 1034 1254 1551 1786 2299 2679 3102 4598 5358 5687 6897 9823 11374 13794 17061 19646 29469 32717 34122 58938 65434 98151 108053 196302 216106 324159 359887 621623 648318 719774 1079661 1243246 1537699 1864869 2159322 3075398 3729738 3958757 4613097 6837853 7917514 9226194 11876271 13675706 16914689 20513559 23752542 29216281 33829378 41027118 50744067 58432562 75216383 87648843 101488134 150432766 175297686 186061579 225649149 321379091 372123158 451298298 558184737 642758182 964137273 1116369474 1928274546 3535170001 7070340002 10605510003 21211020006