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21231232110 = 23351110766809
BaseRepresentation
bin10011110001011110…
…101110010001101110
32000210122022100012000
4103301132232101232
5321440143411420
613430430553130
71351062331614
oct236136562156
960718270160
1021231232110
119005527a20
1241463687a6
1320047b5b4a
141055a256b4
15843dc5690
hex4f17ae46e

21231232110 has 128 divisors (see below), whose sum is σ = 62341747200. Its totient is φ = 5098786560.

The previous prime is 21231232049. The next prime is 21231232133. The reversal of 21231232110 is 1123213212.

21231232110 is a `hidden beast` number, since 21 + 2 + 312 + 321 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 284386 + ... + 351194.

It is an arithmetic number, because the mean of its divisors is an integer number (487044900).

Almost surely, 221231232110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21231232110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31170873600).

21231232110 is an abundant number, since it is smaller than the sum of its proper divisors (41110515090).

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

21231232110 is a wasteful number, since it uses less digits than its factorization.

21231232110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66943 (or 66937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21231232110 its reverse (1123213212), we get a palindrome (22354445322).

The spelling of 21231232110 in words is "twenty-one billion, two hundred thirty-one million, two hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 107 110 135 165 198 214 270 297 321 330 495 535 594 642 963 990 1070 1177 1485 1605 1926 2354 2889 2970 3210 3531 4815 5778 5885 7062 9630 10593 11770 14445 17655 21186 28890 31779 35310 52965 63558 66809 105930 133618 158895 200427 317790 334045 400854 601281 668090 734899 1002135 1202562 1469798 1803843 2004270 2204697 3006405 3607686 3674495 4409394 6012810 6614091 7148563 7348990 9019215 11023485 13228182 14297126 18038430 19842273 21445689 22046970 33070455 35742815 39684546 42891378 64337067 66140910 71485630 78634193 99211365 107228445 128674134 157268386 193011201 198422730 214456890 235902579 321685335 386022402 393170965 471805158 643370670 707707737 786341930 965056005 1179512895 1415415474 1930112010 2123123211 2359025790 3538538685 4246246422 7077077370 10615616055 21231232110