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13012121320 = 2351130796329
BaseRepresentation
bin11000001111001010…
…10011011011101000
31020120211121020210021
430013211103123220
5203122100340240
65551102530224
7640311130522
oct140745233350
936524536707
1013012121320
115578004380
122631896974
1312c4a56c93
148b6202a12
1551254854a
hex3079536e8

13012121320 has 64 divisors (see below), whose sum is σ = 32043211200. Its totient is φ = 4716218880.

The previous prime is 13012121303. The next prime is 13012121323. The reversal of 13012121320 is 2312121031.

13012121320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13012121294 and 13012121303.

It is not an unprimeable number, because it can be changed into a prime (13012121323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86916 + ... + 183244.

It is an arithmetic number, because the mean of its divisors is an integer number (500675175).

Almost surely, 213012121320 is an apocalyptic number.

13012121320 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 13012121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021605600).

13012121320 is an abundant number, since it is smaller than the sum of its proper divisors (19031089880).

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

13012121320 is a wasteful number, since it uses less digits than its factorization.

13012121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96658 (or 96654 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13012121320 its reverse (2312121031), we get a palindrome (15324242351).

The spelling of 13012121320 in words is "thirteen billion, twelve million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 307 440 614 1228 1535 2456 3070 3377 6140 6754 12280 13508 16885 27016 33770 67540 96329 135080 192658 385316 481645 770632 963290 1059619 1926580 2119238 3853160 4238476 5298095 8476952 10596190 21192380 29573003 42384760 59146006 118292012 147865015 236584024 295730030 325303033 591460060 650606066 1182920120 1301212132 1626515165 2602424264 3253030330 6506060660 13012121320