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21131223210 = 23251714992693
BaseRepresentation
bin10011101011100001…
…001110000010101010
32000112200010100202200
4103223201032002222
5321234043120320
613412455241030
71345436301516
oct235341160252
960480110680
1021131223210
118a6402a839
124118979176
131cb9b6b296
141046631146
1583a21d290
hex4eb84e0aa

21131223210 has 96 divisors (see below), whose sum is σ = 58564069200. Its totient is φ = 5267871744.

The previous prime is 21131223209. The next prime is 21131223263. The reversal of 21131223210 is 1232213112.

It can be written as a sum of positive squares in 8 ways, for example, as 3394577169 + 17736646041 = 58263^2 + 133179^2 .

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

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, 181624 + ... + 274316.

Almost surely, 221131223210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131223210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29282034600).

21131223210 is an abundant number, since it is smaller than the sum of its proper divisors (37432845990).

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

21131223210 is a wasteful number, since it uses less digits than its factorization.

21131223210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92872 (or 92869 counting only the distinct ones).

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

Adding to 21131223210 its reverse (1232213112), we get a palindrome (22363436322).

The spelling of 21131223210 in words is "twenty-one billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 149 153 170 255 298 306 447 510 745 765 894 1341 1490 1530 2235 2533 2682 4470 5066 6705 7599 12665 13410 15198 22797 25330 37995 45594 75990 92693 113985 185386 227970 278079 463465 556158 834237 926930 1390395 1575781 1668474 2780790 3151562 4171185 4727343 7878905 8342370 9454686 13811257 14182029 15757810 23636715 27622514 28364058 41433771 47273430 69056285 70910145 82867542 124301313 138112570 141820290 207168855 234791369 248602626 414337710 469582738 621506565 704374107 1173956845 1243013130 1408748214 2113122321 2347913690 3521870535 4226244642 7043741070 10565611605 21131223210