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13212213100200 = 2332527992912891
BaseRepresentation
bin1100000001000011010101…
…0001001011111010101000
31201210002000211212222122100
43000100311101023322220
53212432103023201300
644033335031453400
72532356646240462
oct300206521137250
951702024788570
1013212213100200
1142342a4942934
121594747527260
1374aba23320aa
14339690157132
1517da2ee22700
hexc043544bea8

13212213100200 has 144 divisors (see below), whose sum is σ = 44932674571200. Its totient is φ = 3478658601600.

The previous prime is 13212213100171. The next prime is 13212213100253. The reversal of 13212213100200 is 200131221231.

13212213100200 is a `hidden beast` number, since 1 + 32 + 122 + 1 + 310 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46314246 + ... + 46598645.

It is an arithmetic number, because the mean of its divisors is an integer number (312032462300).

Almost surely, 213212213100200 is an apocalyptic number.

13212213100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212213100200 is an abundant number, since it is smaller than the sum of its proper divisors (31720461471000).

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

13212213100200 is a wasteful number, since it uses less digits than its factorization.

13212213100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92912992 (or 92912980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13212213100200 its reverse (200131221231), we get a palindrome (13412344321431).

The spelling of 13212213100200 in words is "thirteen trillion, two hundred twelve billion, two hundred thirteen million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 79 90 100 120 150 158 180 200 225 237 300 316 360 395 450 474 600 632 711 790 900 948 1185 1422 1580 1800 1896 1975 2370 2844 3160 3555 3950 4740 5688 5925 7110 7900 9480 11850 14220 15800 17775 23700 28440 35550 47400 71100 142200 92912891 185825782 278738673 371651564 464564455 557477346 743303128 836216019 929128910 1114954692 1393693365 1672432038 1858257820 2229909384 2322822275 2787386730 3344864076 3716515640 4181080095 4645644550 5574773460 6689728152 6968466825 7340118389 8362160190 9291289100 11149546920 13936933650 14680236778 16724320380 18582578200 20905400475 22020355167 27873867300 29360473556 33448640760 36700591945 41810800950 44040710334 55747734600 58720947112 66061065501 73401183890 83621601900 88081420668 110101775835 132122131002 146802367780 167243203800 176162841336 183502959725 220203551670 264244262004 293604735560 330305327505 367005919450 440407103340 528488524008 550508879175 660610655010 734011838900 880814206680 1101017758350 1321221310020 1468023677800 1651526637525 2202035516700 2642442620040 3303053275050 4404071033400 6606106550100 13212213100200