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13310210223200 = 25521113271139807
BaseRepresentation
bin1100000110110000011001…
…0110100010110001100000
31202010102222102202122011102
43001230012112202301200
53221033302304120300
644150343130133532
72542426263112442
oct301540626426140
952112872678142
1013310210223200
114271912746890
1215ab7365812a8
137571bbbcaac7
143403091b0492
151813683cc0d5
hexc1b065a2c60

13310210223200 has 144 divisors (see below), whose sum is σ = 35474253502464. Its totient is φ = 4836424819200.

The previous prime is 13310210223187. The next prime is 13310210223227. The reversal of 13310210223200 is 232201201331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11107697 + ... + 12247503.

It is an arithmetic number, because the mean of its divisors is an integer number (246348982656).

Almost surely, 213310210223200 is an apocalyptic number.

13310210223200 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 13310210223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737126751232).

13310210223200 is an abundant number, since it is smaller than the sum of its proper divisors (22164043279264).

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

13310210223200 is a wasteful number, since it uses less digits than its factorization.

13310210223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141165 (or 1141152 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13310210223200 its reverse (232201201331), we get a palindrome (13542411424531).

The spelling of 13310210223200 in words is "thirteen trillion, three hundred ten billion, two hundred ten million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1327 1760 2200 2654 4400 5308 6635 8800 10616 13270 14597 21232 26540 29194 33175 42464 53080 58388 66350 72985 106160 116776 132700 145970 212320 233552 265400 291940 364925 467104 530800 583880 729850 1061600 1139807 1167760 1459700 2279614 2335520 2919400 4559228 5699035 5838800 9118456 11398070 11677600 12537877 18236912 22796140 25075754 28495175 36473824 45592280 50151508 56990350 62689385 91184560 100303016 113980700 125378770 182369120 200606032 227961400 250757540 313446925 401212064 455922800 501515080 626893850 911845600 1003030160 1253787700 1512523889 2006060320 2507575400 3025047778 5015150800 6050095556 7562619445 10030301600 12100191112 15125238890 16637762779 24200382224 30250477780 33275525558 37813097225 48400764448 60500955560 66551051116 75626194450 83188813895 121001911120 133102102232 151252388900 166377627790 242003822240 266204204464 302504777800 332755255580 415944069475 532408408928 605009555600 665510511160 831888138950 1210019111200 1331021022320 1663776277900 2662042044640 3327552555800 6655105111600 13310210223200