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21311132130 = 2335127757821
BaseRepresentation
bin10011110110001111…
…100001000111100010
32001000012122200102000
4103312033201013202
5322121122212010
613442403304430
71353052430361
oct236617410742
961005580360
1021311132130
11904663aaa2
12416907b116
13201820c872
1410624a37d8
1584ae097c0
hex4f63e11e2

21311132130 has 128 divisors (see below), whose sum is σ = 57422684160. Its totient is φ = 5623914240.

The previous prime is 21311132077. The next prime is 21311132137. The reversal of 21311132130 is 3123111312.

21311132130 is a `hidden beast` number, since 2 + 1 + 311 + 1 + 321 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21311132137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25957120 + ... + 25957940.

It is an arithmetic number, because the mean of its divisors is an integer number (448614720).

Almost surely, 221311132130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28711342080).

21311132130 is an abundant number, since it is smaller than the sum of its proper divisors (36111552030).

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

21311132130 is a wasteful number, since it uses less digits than its factorization.

21311132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21311132130 its reverse (3123111312), we get a palindrome (24434243442).

The spelling of 21311132130 in words is "twenty-one billion, three hundred eleven million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 254 270 381 635 757 762 821 1143 1270 1514 1642 1905 2271 2286 2463 3429 3785 3810 4105 4542 4926 5715 6813 6858 7389 7570 8210 11355 11430 12315 13626 14778 17145 20439 22167 22710 24630 34065 34290 36945 40878 44334 68130 73890 96139 102195 104267 110835 192278 204390 208534 221670 288417 312801 480695 521335 576834 621497 625602 865251 938403 961390 1042670 1242994 1442085 1564005 1730502 1864491 1876806 2595753 2815209 2884170 3107485 3128010 3728982 4326255 4692015 5191506 5593473 5630418 6214970 8652510 9322455 9384030 11186946 12978765 14076045 16780419 18644910 25957530 27967365 28152090 33560838 55934730 78930119 83902095 157860238 167804190 236790357 394650595 473580714 710371071 789301190 1183951785 1420742142 2131113213 2367903570 3551855355 4262226426 7103710710 10655566065 21311132130