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21133323240 = 23357112719531
BaseRepresentation
bin10011101011101001…
…001110101111101000
32000112211002001110120
4103223221032233220
5321240112320430
613413012243240
71345463166201
oct235351165750
960484061416
1021133323240
118a652345a7
124119610520
131cba4250c3
141046a1a5a8
1583a4d5610
hex4eba4ebe8

21133323240 has 128 divisors (see below), whose sum is σ = 64802488320. Its totient is φ = 5512147200.

The previous prime is 21133323209. The next prime is 21133323241. The reversal of 21133323240 is 4232333112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21133323240.

It is not an unprimeable number, because it can be changed into a prime (21133323241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072275 + ... + 1091805.

It is an arithmetic number, because the mean of its divisors is an integer number (506269440).

Almost surely, 221133323240 is an apocalyptic number.

21133323240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32401244160).

21133323240 is an abundant number, since it is smaller than the sum of its proper divisors (43669165080).

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

21133323240 is a wasteful number, since it uses less digits than its factorization.

21133323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19743 (or 19739 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21133323240 its reverse (4232333112), we get a palindrome (25365656352).

The spelling of 21133323240 in words is "twenty-one billion, one hundred thirty-three million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 127 142 213 254 284 355 381 426 508 568 635 710 762 852 1016 1065 1270 1420 1524 1704 1905 2130 2540 2840 3048 3810 4260 5080 7620 8520 9017 15240 18034 19531 27051 36068 39062 45085 54102 58593 72136 78124 90170 97655 108204 117186 135255 156248 180340 195310 216408 234372 270510 292965 360680 390620 468744 541020 585930 781240 1082040 1171860 1386701 2343720 2480437 2773402 4160103 4960874 5546804 6933505 7441311 8320206 9921748 11093608 12402185 13867010 14882622 16640412 19843496 20800515 24804370 27734020 29765244 33280824 37206555 41601030 49608740 55468040 59530488 74413110 83202060 99217480 148826220 166404120 176111027 297652440 352222054 528333081 704444108 880555135 1056666162 1408888216 1761110270 2113332324 2641665405 3522220540 4226664648 5283330810 7044441080 10566661620 21133323240