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13202203120200 = 23325219386029331
BaseRepresentation
bin1100000000011110000010…
…1000001001001001001000
31201202010012020100022112100
43000013200220021021020
53212301102444321300
644025001451113400
72531553620641353
oct300074050111110
951663166308470
1013202203120200
114230028531796
121592813142860
13749c6855c1c3
14338dc095729a
1517d646242700
hexc01e0a09248

13202203120200 has 144 divisors (see below), whose sum is σ = 46670946238800. Its totient is φ = 3335293411200.

The previous prime is 13202203120157. The next prime is 13202203120213. The reversal of 13202203120200 is 202130220231.

13202203120200 is a `hidden beast` number, since 1 + 320 + 2 + 20 + 3 + 120 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192980466 + ... + 193048865.

It is an arithmetic number, because the mean of its divisors is an integer number (324103793325).

Almost surely, 213202203120200 is an apocalyptic number.

13202203120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13202203120200 is an abundant number, since it is smaller than the sum of its proper divisors (33468743118600).

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

13202203120200 is a wasteful number, since it uses less digits than its factorization.

13202203120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386029372 (or 386029360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13202203120200 its reverse (202130220231), we get a palindrome (13404333340431).

The spelling of 13202203120200 in words is "thirteen trillion, two hundred two billion, two hundred three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 34200 386029331 772058662 1158087993 1544117324 1930146655 2316175986 3088234648 3474263979 3860293310 4632351972 5790439965 6948527958 7334557289 7720586620 9264703944 9650733275 11580879930 13897055916 14669114578 15441173240 17371319895 19301466550 22003671867 23161759860 27794111832 28952199825 29338229156 34742639790 36672786445 38602933100 44007343734 46323519720 57904399650 58676458312 66011015601 69485279580 73345572890 77205866200 86856599475 88014687468 110018359335 115808799300 132022031202 138970559160 146691145780 173713198950 176029374936 183363932225 220036718670 231617598600 264044062404 293382291560 330055078005 347426397900 366727864450 440073437340 528088124808 550091796675 660110156010 694852795800 733455728900 880146874680 1100183593350 1320220312020 1466911457800 1650275390025 2200367186700 2640440624040 3300550780050 4400734373400 6601101560100 13202203120200