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13002101320 = 2351348751343
BaseRepresentation
bin11000001101111110…
…00101001001001000
31020120010202011221011
430012333011021020
5203112014220240
65550104053304
7640130015635
oct140677051110
936503664834
1013002101320
11557239018a
12262a464234
1312c29592a0
148b4b5518c
155117196ea
hex306fc5248

13002101320 has 64 divisors (see below), whose sum is σ = 31570398720. Its totient is φ = 4790824704.

The previous prime is 13002101317. The next prime is 13002101327. The reversal of 13002101320 is 2310120031.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 13002101320.

It is not an unprimeable number, because it can be changed into a prime (13002101327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227569 + ... + 278911.

It is an arithmetic number, because the mean of its divisors is an integer number (493287480).

Almost surely, 213002101320 is an apocalyptic number.

13002101320 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 13002101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785199360).

13002101320 is an abundant number, since it is smaller than the sum of its proper divisors (18568297400).

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

13002101320 is a wasteful number, since it uses less digits than its factorization.

13002101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51854 (or 51850 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13002101320 its reverse (2310120031), we get a palindrome (15312221351).

The spelling of 13002101320 in words is "thirteen billion, two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 487 520 974 1948 2435 3896 4870 6331 9740 12662 19480 25324 31655 50648 51343 63310 102686 126620 205372 253240 256715 410744 513430 667459 1026860 1334918 2053720 2669836 3337295 5339672 6674590 13349180 25004041 26698360 50008082 100016164 125020205 200032328 250040410 325052533 500080820 650105066 1000161640 1300210132 1625262665 2600420264 3250525330 6501050660 13002101320