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13201420000300 = 2252724241635267
BaseRepresentation
bin1100000000011011000111…
…1100110001110000101100
31201202001011122202200222121
43000012301330301300230
53212243002010002200
644024352034122324
72531525331351100
oct300066174616054
951661148680877
1013201420000300
11422a766480164
121592634a203a4
13749b7223964c
14338d48943900
1517d5ec601e1a
hexc01b1f31c2c

13201420000300 has 108 divisors (see below), whose sum is σ = 33332066001864. Its totient is φ = 4525126771200.

The previous prime is 13201420000261. The next prime is 13201420000343. The reversal of 13201420000300 is 300002410231.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 20463267 + ... + 21098533.

It is an arithmetic number, because the mean of its divisors is an integer number (308630240758).

Almost surely, 213201420000300 is an apocalyptic number.

13201420000300 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 13201420000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16666033000932).

13201420000300 is an abundant number, since it is smaller than the sum of its proper divisors (20130646001564).

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

13201420000300 is a wasteful number, since it uses less digits than its factorization.

13201420000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639536 (or 639522 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13201420000300 its reverse (300002410231), we get a palindrome (13501422410531).

The spelling of 13201420000300 in words is "thirteen trillion, two hundred one billion, four hundred twenty million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4241 4900 8482 16964 21205 29687 42410 59374 84820 106025 118748 148435 207809 212050 296870 415618 424100 593740 635267 742175 831236 1039045 1270534 1484350 2078090 2541068 2968700 3176335 4156180 4446869 5195225 6352670 8893738 10390450 12705340 15881675 17787476 20780900 22234345 31128083 31763350 44468690 62256166 63526700 88937380 111171725 124512332 155640415 222343450 311280830 444686900 622561660 778202075 1556404150 2694167347 3112808300 5388334694 10776669388 13470836735 18859171429 26941673470 37718342858 53883346940 67354183675 75436685716 94295857145 132014200003 134708367350 188591714290 264028400006 269416734700 377183428580 471479285725 528056800012 660071000015 942958571450 1320142000030 1885917142900 2640284000060 3300355000075 6600710000150 13201420000300