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320143212412300 = 2252472812423100043
BaseRepresentation
bin100100011001010110010011…
…0011100111111110110001100
31112222112101120220211102111101
41020302230212130333312030
5313430211244334143200
63052515432245232444
7124301404151105554
oct11062544634776614
91488471526742441
10320143212412300
1193009a793215a2
122baa5a96102724
13109834b5973c04
14590b02abbc164
1527029d646726a
hex1232b2673fd8c

320143212412300 has 144 divisors (see below), whose sum is σ = 712317710748672. Its totient is φ = 124833848204800.

The previous prime is 320143212412297. The next prime is 320143212412301. The reversal of 320143212412300 is 3214212341023.

It is not an unprimeable number, because it can be changed into a prime (320143212412301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3200006079 + ... + 3200106121.

It is an arithmetic number, because the mean of its divisors is an integer number (4946650769088).

Almost surely, 2320143212412300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320143212412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356158855374336).

320143212412300 is an abundant number, since it is smaller than the sum of its proper divisors (392174498336372).

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

320143212412300 is a wasteful number, since it uses less digits than its factorization.

320143212412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102808 (or 102801 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 320143212412300 its reverse (3214212341023), we get a palindrome (323357424753323).

The spelling of 320143212412300 in words is "three hundred twenty trillion, one hundred forty-three billion, two hundred twelve million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 281 470 562 940 1124 1175 1405 2350 2423 2810 4700 4846 5620 7025 9692 12115 13207 14050 24230 26414 28100 48460 52828 60575 66035 100043 113881 121150 132070 200086 227762 242300 264140 330175 400172 455524 500215 569405 660350 680863 1000430 1138810 1320700 1361726 2000860 2277620 2501075 2723452 2847025 3404315 4702021 5002150 5694050 6808630 9404042 10004300 11388100 13617260 17021575 18808084 23510105 28112083 32000561 34043150 47020210 56224166 64001122 68086300 94040420 112448332 117550525 128002244 140560415 160002805 235101050 242404189 281120830 320005610 470202100 484808378 562241660 640011220 702802075 800014025 969616756 1212020945 1321267901 1405604150 1600028050 2424041890 2642535802 2811208300 3200056100 4848083780 5285071604 6060104725 6606339505 11392996883 12120209450 13212679010 22785993766 24240418900 26425358020 33031697525 45571987532 56964984415 66063395050 68115577109 113929968830 132126790100 136231154218 227859937660 272462308436 284824922075 340577885545 569649844150 681155771090 1139299688300 1362311542180 1702889427725 3201432124123 3405778855450 6402864248246 6811557710900 12805728496492 16007160620615 32014321241230 64028642482460 80035803103075 160071606206150 320143212412300