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2013101104200 = 2335222871467061
BaseRepresentation
bin11101010010110110001…
…011010001110001001000
321010110011110212220022120
4131102312023101301020
5230440312340313300
64140450023051240
7265304344024104
oct35226613216110
97113143786276
102013101104200
1170682a10132a
1228619b5a0b20
13117ab0875334
146d612816904
15375732513a0
hex1d4b62d1c48

2013101104200 has 96 divisors (see below), whose sum is σ = 6243346412160. Its totient is φ = 536591865600.

The previous prime is 2013101104181. The next prime is 2013101104211. The reversal of 2013101104200 is 24011013102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013101104200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638670 + ... + 2105730.

It is an arithmetic number, because the mean of its divisors is an integer number (65034858460).

Almost surely, 22013101104200 is an apocalyptic number.

2013101104200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013101104200 is an abundant number, since it is smaller than the sum of its proper divisors (4230245307960).

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

2013101104200 is a wasteful number, since it uses less digits than its factorization.

2013101104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469367 (or 1469358 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2013101104200 its reverse (24011013102), we get a palindrome (2037112117302).

The spelling of 2013101104200 in words is "two trillion, thirteen billion, one hundred one million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2287 4574 6861 9148 11435 13722 18296 22870 27444 34305 45740 54888 57175 68610 91480 114350 137220 171525 228700 274440 343050 457400 686100 1372200 1467061 2934122 4401183 5868244 7335305 8802366 11736488 14670610 17604732 22005915 29341220 35209464 36676525 44011830 58682440 73353050 88023660 110029575 146706100 176047320 220059150 293412200 440118300 880236600 3355168507 6710337014 10065505521 13420674028 16775842535 20131011042 26841348056 33551685070 40262022084 50327527605 67103370140 80524044168 83879212675 100655055210 134206740280 167758425350 201310110420 251637638025 335516850700 402620220840 503275276050 671033701400 1006550552100 2013101104200