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13215141031200 = 2535216573323059
BaseRepresentation
bin1100000001001110001111…
…0010010110110100100000
31201210100120220022021220020
43000103203302112310200
53213004102100444300
644034541343313440
72532522341241453
oct300234362266440
951710526267806
1013215141031200
114235567659819
121595223bab880
1374b24ab02144
1433988ad5d49a
1517db51ecc8a0
hexc04e3c96d20

13215141031200 has 144 divisors (see below), whose sum is σ = 43041256745760. Its totient is φ = 3521909790720.

The previous prime is 13215141031181. The next prime is 13215141031219. The reversal of 13215141031200 is 213014151231.

It is an interprime number because it is at equal distance from previous prime (13215141031181) and next prime (13215141031219).

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

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, 2315271 + ... + 5638329.

It is an arithmetic number, because the mean of its divisors is an integer number (298897616290).

Almost surely, 213215141031200 is an apocalyptic number.

13215141031200 is a gapful number since it is divisible by the number (10) 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 13215141031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520628372880).

13215141031200 is an abundant number, since it is smaller than the sum of its proper divisors (29826115714560).

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

13215141031200 is a wasteful number, since it uses less digits than its factorization.

13215141031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324739 (or 3324726 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 13215141031200 its reverse (213014151231), we get a palindrome (13428155182431).

The spelling of 13215141031200 in words is "thirteen trillion, two hundred fifteen billion, one hundred forty-one million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 1657 2400 3314 4971 6628 8285 9942 13256 16570 19884 24855 26512 33140 39768 41425 49710 53024 66280 79536 82850 99420 124275 132560 159072 165700 198840 248550 265120 331400 397680 497100 662800 795360 994200 1325600 1988400 3323059 3976800 6646118 9969177 13292236 16615295 19938354 26584472 33230590 39876708 49845885 53168944 66461180 79753416 83076475 99691770 106337888 132922360 159506832 166152950 199383540 249229425 265844720 319013664 332305900 398767080 498458850 531689440 664611800 797534160 996917700 1329223600 1595068320 1993835400 2658447200 3987670800 5506308763 7975341600 11012617526 16518926289 22025235052 27531543815 33037852578 44050470104 55063087630 66075705156 82594631445 88100940208 110126175260 132151410312 137657719075 165189262890 176201880416 220252350520 264302820624 275315438150 330378525780 412973157225 440504701040 528605641248 550630876300 660757051560 825946314450 881009402080 1101261752600 1321514103120 1651892628900 2202523505200 2643028206240 3303785257800 4405047010400 6607570515600 13215141031200