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13123201300 = 22521189134047
BaseRepresentation
bin11000011100011010…
…00010100100010100
31020212120121200212121
430032031002210110
5203334014420200
610010111425324
7643130241046
oct141615024424
936776550777
1013123201300
115624783410
122662b25244
131311a79a91
148c6c79a96
1551c18ae1a
hex30e342914

13123201300 has 72 divisors (see below), whose sum is σ = 31415489280. Its totient is φ = 4718419200.

The previous prime is 13123201237. The next prime is 13123201309. The reversal of 13123201300 is 310232131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123201309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30877 + ... + 164923.

It is an arithmetic number, because the mean of its divisors is an integer number (436326240).

Almost surely, 213123201300 is an apocalyptic number.

13123201300 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 13123201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707744640).

13123201300 is an abundant number, since it is smaller than the sum of its proper divisors (18292287980).

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

13123201300 is a wasteful number, since it uses less digits than its factorization.

13123201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134161 (or 134154 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13123201300 its reverse (310232131), we get a palindrome (13433433431).

The spelling of 13123201300 in words is "thirteen billion, one hundred twenty-three million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 356 445 550 890 979 1100 1780 1958 2225 3916 4450 4895 8900 9790 19580 24475 48950 97900 134047 268094 536188 670235 1340470 1474517 2680940 2949034 3351175 5898068 6702350 7372585 11930183 13404700 14745170 23860366 29490340 36862925 47720732 59650915 73725850 119301830 131232013 147451700 238603660 262464026 298254575 524928052 596509150 656160065 1193018300 1312320130 2624640260 3280800325 6561600650 13123201300