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13013200260 = 22335125919141
BaseRepresentation
bin11000001111010010…
…11010110110000100
31020120220122001211000
430013221122312010
5203122334402020
65551142013300
7640323243234
oct140751326604
936526561730
1013013200260
115578680a65
122632117230
1312c50440c8
148b6403cc4
155126ad090
hex307a5ad84

13013200260 has 96 divisors (see below), whose sum is σ = 40519785600. Its totient is φ = 3467249280.

The previous prime is 13013200259. The next prime is 13013200261. The reversal of 13013200260 is 6200231031.

It is an interprime number because it is at equal distance from previous prime (13013200259) and next prime (13013200261).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13013200261) 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, 670290 + ... + 689430.

It is an arithmetic number, because the mean of its divisors is an integer number (422081100).

Almost surely, 213013200260 is an apocalyptic number.

13013200260 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 13013200260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20259892800).

13013200260 is an abundant number, since it is smaller than the sum of its proper divisors (27506585340).

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

13013200260 is a wasteful number, since it uses less digits than its factorization.

13013200260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20418 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13013200260 its reverse (6200231031), we get a palindrome (19213431291).

The spelling of 13013200260 in words is "thirteen billion, thirteen million, two hundred thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1259 2518 3777 5036 6295 7554 11331 12590 15108 18885 19141 22662 25180 33993 37770 38282 45324 56655 57423 67986 75540 76564 95705 113310 114846 135972 169965 172269 191410 226620 229692 287115 339930 344538 382820 516807 574230 679860 689076 861345 1033614 1148460 1722690 2067228 2584035 3445380 5168070 10336140 24098519 48197038 72295557 96394076 120492595 144591114 216886671 240985190 289182228 361477785 433773342 481970380 650660013 722955570 867546684 1084433355 1301320026 1445911140 2168866710 2602640052 3253300065 4337733420 6506600130 13013200260