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213320101200 = 24352215382567
BaseRepresentation
bin1100011010101011011…
…1100110110101010000
3202101121122101221020220
43012222313212311100
511443334421214300
6241555314033040
721261161641203
oct3065267466520
9671548357226
10213320101200
11825176aa3a8
1235414578780
1317167b0916b
14a47917393a
155837a55da0
hex31aade6d50

213320101200 has 120 divisors (see below), whose sum is σ = 683661058368. Its totient is φ = 56858250240.

The previous prime is 213320101103. The next prime is 213320101213. The reversal of 213320101200 is 2101023312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213320101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2542317 + ... + 2624883.

Almost surely, 2213320101200 is an apocalyptic number.

213320101200 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 213320101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341830529184).

213320101200 is an abundant number, since it is smaller than the sum of its proper divisors (470340957168).

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

213320101200 is a wasteful number, since it uses less digits than its factorization.

213320101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84741 (or 84730 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213320101200 its reverse (2101023312), we get a palindrome (215421124512).

The spelling of 213320101200 in words is "two hundred thirteen billion, three hundred twenty million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2153 4306 6459 8612 10765 12918 17224 21530 25836 32295 34448 43060 51672 53825 64590 82567 86120 103344 107650 129180 161475 165134 172240 215300 247701 258360 322950 330268 412835 430600 495402 516720 645900 660536 825670 861200 990804 1238505 1291800 1321072 1651340 1981608 2064175 2477010 2583600 3302680 3963216 4128350 4954020 6192525 6605360 8256700 9908040 12385050 16513400 19816080 24770100 33026800 49540200 99080400 177766751 355533502 533300253 711067004 888833755 1066600506 1422134008 1777667510 2133201012 2666501265 2844268016 3555335020 4266402024 4444168775 5333002530 7110670040 8532804048 8888337550 10666005060 13332506325 14221340080 17776675100 21332010120 26665012650 35553350200 42664020240 53330025300 71106700400 106660050600 213320101200