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2013143201300 = 2252711428361043
BaseRepresentation
bin11101010010111000101…
…011110111011000010100
321010110021102002122200102
4131102320223313120110
5230440404124420200
64140454125233232
7265305364605140
oct35227053673024
97113242078612
102013143201300
11706850944520
122861b1702818
13117ab94c456a
146d618254220
1537576cb96d5
hex1d4b8af7614

2013143201300 has 144 divisors (see below), whose sum is σ = 5447828316672. Its totient is φ = 627316425600.

The previous prime is 2013143201299. The next prime is 2013143201317. The reversal of 2013143201300 is 31023413102.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32948579 + ... + 33009621.

It is an arithmetic number, because the mean of its divisors is an integer number (37832141088).

Almost surely, 22013143201300 is an apocalyptic number.

2013143201300 is a gapful number since it is divisible by the number (20) 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 2013143201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723914158336).

2013143201300 is an abundant number, since it is smaller than the sum of its proper divisors (3434685115372).

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

2013143201300 is a wasteful number, since it uses less digits than its factorization.

2013143201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65358 (or 65351 counting only the distinct ones).

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

Adding to 2013143201300 its reverse (31023413102), we get a palindrome (2044166614402).

The spelling of 2013143201300 in words is "two trillion, thirteen billion, one hundred forty-three million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 4283 7700 8566 17132 21415 29981 42830 47113 59962 61043 85660 94226 107075 119924 122086 149905 188452 214150 235565 244172 299810 305215 329791 427301 428300 471130 599620 610430 659582 671473 749525 854602 942260 1177825 1220860 1319164 1342946 1499050 1526075 1648955 1709204 2136505 2355650 2685892 2998100 3052150 3297910 3357365 4273010 4700311 4711300 6104300 6595820 6714730 8244775 8546020 9400622 10682525 13429460 16489550 16786825 18801244 21365050 23501555 32979100 33573650 42730100 47003110 67147300 94006220 117507775 235015550 261447169 470031100 522894338 1045788676 1307235845 1830130183 2614471690 2875918859 3660260366 5228943380 5751837718 6536179225 7320520732 9150650915 11503675436 13072358450 14379594295 18301301830 20131432013 26144716900 28759188590 36602603660 40262864026 45753254575 57518377180 71897971475 80525728052 91506509150 100657160065 143795942950 183013018300 201314320130 287591885900 402628640260 503285800325 1006571600650 2013143201300