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21311113110 = 2357376144963
BaseRepresentation
bin10011110110001111…
…011100011110010110
32001000012121201022120
4103312033130132112
5322121121104420
613442403040410
71353052321050
oct236617343626
961005551276
1021311113110
119046627781
124169070106
132018204001
14106249a8d0
1584ae03d40
hex4f63dc796

21311113110 has 128 divisors (see below), whose sum is σ = 61018665984. Its totient is φ = 4661660160.

The previous prime is 21311113093. The next prime is 21311113157. The reversal of 21311113110 is 1131111312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21311113110.

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, 451489 + ... + 496451.

It is an arithmetic number, because the mean of its divisors is an integer number (476708328).

Almost surely, 221311113110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30509332992).

21311113110 is an abundant number, since it is smaller than the sum of its proper divisors (39707552874).

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

21311113110 is a wasteful number, since it uses less digits than its factorization.

21311113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45078.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 21311113110 its reverse (1131111312), we get a palindrome (22442224422).

It can be divided in two parts, 21311 and 113110, that added together give a triangular number (134421 = T518).

The spelling of 21311113110 in words is "twenty-one billion, three hundred eleven million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 61 70 74 105 111 122 183 185 210 222 259 305 366 370 427 518 555 610 777 854 915 1110 1281 1295 1554 1830 2135 2257 2562 2590 3885 4270 4514 6405 6771 7770 11285 12810 13542 15799 22570 31598 33855 44963 47397 67710 78995 89926 94794 134889 157990 224815 236985 269778 314741 449630 473970 629482 674445 944223 1348890 1573705 1663631 1888446 2742743 3147410 3327262 4721115 4990893 5485486 8228229 8318155 9442230 9981786 11645417 13713715 16456458 16636310 19199201 23290834 24954465 27427430 34936251 38398402 41141145 49908930 57597603 58227085 69872502 82282290 95996005 101481491 115195206 116454170 174681255 191992010 202962982 287988015 304444473 349362510 507407455 575976030 608888946 710370437 1014814910 1420740874 1522222365 2131111311 3044444730 3551852185 4262222622 7103704370 10655556555 21311113110