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13200211201000 = 2353131147168501
BaseRepresentation
bin1100000000010110100111…
…1001100100101111101000
31201201221001102012100002011
43000011221321210233220
53212233013031413000
644024032053245304
72531453352623635
oct300055171445750
951657042170064
1013200211201000
11422a1a610437a
121592358033834
13749a0b983ca5
14338c721a318c
1517d57b4292ba
hexc0169e64be8

13200211201000 has 128 divisors (see below), whose sum is σ = 31145897502720. Its totient is φ = 5236140000000.

The previous prime is 13200211200973. The next prime is 13200211201033. The reversal of 13200211201000 is 10211200231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192666750 + ... + 192735250.

It is an arithmetic number, because the mean of its divisors is an integer number (243327324240).

Almost surely, 213200211201000 is an apocalyptic number.

13200211201000 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 13200211201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15572948751360).

13200211201000 is an abundant number, since it is smaller than the sum of its proper divisors (17945686301720).

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

13200211201000 is a wasteful number, since it uses less digits than its factorization.

13200211201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70124 (or 70110 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13200211201000 its reverse (10211200231), we get a palindrome (13210422401231).

The spelling of 13200211201000 in words is "thirteen trillion, two hundred billion, two hundred eleven million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 655 1000 1048 1310 1471 2620 2942 3275 5240 5884 6550 7355 11768 13100 14710 16375 26200 29420 32750 36775 58840 65500 68501 73550 131000 137002 147100 183875 192701 274004 294200 342505 367750 385402 548008 685010 735500 770804 963505 1370020 1471000 1541608 1712525 1927010 2740040 3425050 3854020 4817525 6850100 7708040 8562625 8973631 9635050 13700200 17125250 17947262 19270100 24087625 34250500 35894524 38540200 44868155 48175250 68501000 71789048 89736310 96350500 100764971 179472620 192701000 201529942 224340775 358945240 403059884 448681550 503824855 806119768 897363100 1007649710 1121703875 1794726200 2015299420 2243407750 2519124275 4030598840 4486815500 5038248550 8973631000 10076497100 12595621375 13200211201 20152994200 25191242750 26400422402 50382485500 52800844804 66001056005 100764971000 105601689608 132002112010 264004224020 330005280025 528008448040 660010560050 1320021120100 1650026400125 2640042240200 3300052800250 6600105600500 13200211201000