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21131240310 = 23451091371747
BaseRepresentation
bin10011101011100001…
…010010001101110110
32000112200011020020000
4103223201102031312
5321234044142220
613412455452130
71345436402415
oct235341221566
960480136200
1021131240310
118a64041674
124118987046
131cb9b75cbb
14104663747c
1583a223390
hex4eb852376

21131240310 has 160 divisors (see below), whose sum is σ = 57792445920. Its totient is φ = 5539373568.

The previous prime is 21131240297. The next prime is 21131240321. The reversal of 21131240310 is 1304213112.

21131240310 is a `hidden beast` number, since 2 + 1 + 1 + 312 + 40 + 310 = 666.

It is a super-2 number, since 2×211312403102 (a number of 21 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 12094857 + ... + 12096603.

It is an arithmetic number, because the mean of its divisors is an integer number (361202787).

Almost surely, 221131240310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131240310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28896222960).

21131240310 is an abundant number, since it is smaller than the sum of its proper divisors (36661205610).

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

21131240310 is a wasteful number, since it uses less digits than its factorization.

21131240310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2003 counting only the distinct ones).

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

Adding to 21131240310 its reverse (1304213112), we get a palindrome (22435453422).

The spelling of 21131240310 in words is "twenty-one billion, one hundred thirty-one million, two hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 137 162 218 270 274 327 405 411 545 654 685 810 822 981 1090 1233 1370 1635 1747 1962 2055 2466 2943 3270 3494 3699 4110 4905 5241 5886 6165 7398 8735 8829 9810 10482 11097 12330 14715 14933 15723 17470 17658 18495 22194 26205 29430 29866 31446 36990 44145 44799 47169 52410 55485 74665 78615 88290 89598 94338 110970 134397 141507 149330 157230 190423 223995 235845 239339 268794 283014 380846 403191 447990 471690 478678 571269 671985 707535 718017 806382 952115 1142538 1196695 1209573 1343970 1415070 1436034 1713807 1904230 2015955 2154051 2393390 2419146 2856345 3427614 3590085 4031910 4308102 5141421 5712690 6047865 6462153 7180170 8569035 10282842 10770255 12095730 12924306 15424263 17138070 19386459 21540510 25707105 26087951 30848526 32310765 38772918 51414210 52175902 64621530 77121315 78263853 96932295 130439755 154242630 156527706 193864590 234791559 260879510 391319265 469583118 704374677 782638530 1173957795 1408749354 2113124031 2347915590 3521873385 4226248062 7043746770 10565620155 21131240310