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213443065000 = 23541110736269
BaseRepresentation
bin1100011011001000110…
…0101011010010101000
3202101221012210010212201
43012302030223102220
511444112411040000
6242015425345544
721264214055224
oct3066214532250
9671835703781
10213443065000
1182580055980
12354497982b4
13171874300c9
14a48b621784
15584374496a
hex31b232b4a8

213443065000 has 160 divisors (see below), whose sum is σ = 550674352800. Its totient is φ = 76888160000.

The previous prime is 213443064983. The next prime is 213443065009. The reversal of 213443065000 is 560344312.

It is a self number, because there is not a number n which added to its sum of digits gives 213443065000.

It is not an unprimeable number, because it can be changed into a prime (213443065009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5866866 + ... + 5903134.

It is an arithmetic number, because the mean of its divisors is an integer number (3441714705).

Almost surely, 2213443065000 is an apocalyptic number.

213443065000 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 213443065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275337176400).

213443065000 is an abundant number, since it is smaller than the sum of its proper divisors (337231287800).

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

213443065000 is a wasteful number, since it uses less digits than its factorization.

213443065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36413 (or 36394 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 213443065000 in words is "two hundred thirteen billion, four hundred forty-three million, sixty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 125 200 214 220 250 275 428 440 500 535 550 625 856 1000 1070 1100 1177 1250 1375 2140 2200 2354 2500 2675 2750 4280 4708 5000 5350 5500 5885 6875 9416 10700 11000 11770 13375 13750 21400 23540 26750 27500 29425 36269 47080 53500 55000 58850 66875 72538 107000 117700 133750 145076 147125 181345 235400 267500 290152 294250 362690 398959 535000 588500 725380 735625 797918 906725 1177000 1450760 1471250 1595836 1813450 1994795 2942500 3191672 3626900 3880783 3989590 4533625 5885000 7253800 7761566 7979180 9067250 9973975 15523132 15958360 18134500 19403915 19947950 22668125 31046264 36269000 38807830 39895900 42688613 45336250 49869875 77615660 79791800 85377226 90672500 97019575 99739750 155231320 170754452 181345000 194039150 199479500 213443065 249349375 341508904 388078300 398959000 426886130 485097875 498698750 776156600 853772260 970195750 997397500 1067215325 1707544520 1940391500 1994795000 2134430650 2425489375 3880783000 4268861300 4850978750 5336076625 8537722600 9701957500 10672153250 19403915000 21344306500 26680383125 42688613000 53360766250 106721532500 213443065000