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213402000141200 = 24521393763437687
BaseRepresentation
bin110000100001011010000110…
…011010011010101110010000
31000222121000212022022122202102
4300201122012122122232100
5210432334244014004300
62033511305300135532
762643533334030533
oct6041320632325620
91028530768278672
10213402000141200
1161aa63097790a2
121bb268a20975a8
13920c950a7c020
143a9a9d7702a1a
1519a1120a0e0d5
hexc2168669ab90

213402000141200 has 120 divisors (see below), whose sum is σ = 552143786660928. Its totient is φ = 78793564285440.

The previous prime is 213402000141179. The next prime is 213402000141203. The reversal of 213402000141200 is 2141000204312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (213402000141203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487348757 + ... + 487786443.

Almost surely, 2213402000141200 is an apocalyptic number.

213402000141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213402000141200 is an abundant number, since it is smaller than the sum of its proper divisors (338741786519728).

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

213402000141200 is a wasteful number, since it uses less digits than its factorization.

213402000141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531481 (or 531470 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 213402000141200 its reverse (2141000204312), we get a palindrome (215543000345512).

The spelling of 213402000141200 in words is "two hundred thirteen trillion, four hundred two billion, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 93763 187526 375052 437687 468815 750104 875374 937630 1218919 1500208 1750748 1875260 2188435 2344075 2437838 3501496 3750520 4376870 4688150 4875676 5689931 6094595 7002992 7501040 8753740 9376300 9751352 10942175 11379862 12189190 17507480 18752600 19502704 21884350 22759724 24378380 28449655 30472975 35014960 37505200 43768700 45519448 48756760 56899310 60945950 87537400 91038896 97513520 113798620 121891900 142248275 175074800 227597240 243783800 284496550 455194480 487567600 568993100 1137986200 2275972400 41038846181 82077692362 164155384724 205194230905 328310769448 410388461810 533505000353 656621538896 820776923620 1025971154525 1067010000706 1641553847240 2051942309050 2134020001412 2667525001765 3283107694480 4103884618100 4268040002824 5335050003530 8207769236200 8536080005648 10670100007060 13337625008825 16415538472400 21340200014120 26675250017650 42680400028240 53350500035300 106701000070600 213402000141200