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13020133420 = 22571938912583
BaseRepresentation
bin11000010000000111…
…10111100000101100
31020121101200022022201
430020003313200230
5203131123232140
65551550351244
7640436210440
oct141003674054
936541608281
1013020133420
115581586a48
1226344bb524
1312c6600a78
148b72ca820
155130cc49a
hex3080f782c

13020133420 has 96 divisors (see below), whose sum is σ = 32980147200. Its totient is φ = 4217889024.

The previous prime is 13020133409. The next prime is 13020133421. The reversal of 13020133420 is 2433102031.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (13020133421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028449 + ... + 1041031.

It is an arithmetic number, because the mean of its divisors is an integer number (343543200).

Almost surely, 213020133420 is an apocalyptic number.

13020133420 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 13020133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490073600).

13020133420 is an abundant number, since it is smaller than the sum of its proper divisors (19960013780).

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

13020133420 is a wasteful number, since it uses less digits than its factorization.

13020133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13007 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13020133420 its reverse (2433102031), we get a palindrome (15453235451).

The spelling of 13020133420 in words is "thirteen billion, twenty million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 389 532 665 778 1330 1556 1945 2660 2723 3890 5446 7391 7780 10892 12583 13615 14782 25166 27230 29564 36955 50332 51737 54460 62915 73910 88081 103474 125830 147820 176162 206948 239077 251660 258685 352324 440405 478154 517370 880810 956308 1034740 1195385 1673539 1761620 2390770 3347078 4781540 4894787 6694156 8367695 9789574 16735390 19579148 24473935 33470780 34263509 48947870 68527018 93000953 97895740 137054036 171317545 186001906 342635090 372003812 465004765 651006671 685270180 930009530 1302013342 1860019060 2604026684 3255033355 6510066710 13020133420