Search a number
-
+
13002130320 = 2435421128683
BaseRepresentation
bin11000001101111110…
…01100001110010000
31020120010210122201020
430012333030032100
5203112021132240
65550104435440
7640130166324
oct140677141620
936503718636
1013002130320
1155723aaa53
12262a478b80
1312c296954a
148b4b61984
155117230d0
hex306fcc390

13002130320 has 80 divisors (see below), whose sum is σ = 40402658112. Its totient is φ = 3458972160.

The previous prime is 13002130319. The next prime is 13002130321. The reversal of 13002130320 is 2303120031.

It is an interprime number because it is at equal distance from previous prime (13002130319) and next prime (13002130321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13002130320.

It is not an unprimeable number, because it can be changed into a prime (13002130321) 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, 36699 + ... + 165381.

Almost surely, 213002130320 is an apocalyptic number.

13002130320 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 13002130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20201329056).

13002130320 is an abundant number, since it is smaller than the sum of its proper divisors (27400527792).

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

13002130320 is a wasteful number, since it uses less digits than its factorization.

13002130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129120 (or 129114 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13002130320 its reverse (2303120031), we get a palindrome (15305250351).

It can be divided in two parts, 13002130 and 320, that added together give a triangular number (13002450 = T5099).

The spelling of 13002130320 in words is "thirteen billion, two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 421 842 1263 1684 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 16840 20208 25260 33680 50520 101040 128683 257366 386049 514732 643415 772098 1029464 1286830 1544196 1930245 2058928 2573660 3088392 3860490 5147320 6176784 7720980 10294640 15441960 30883920 54175543 108351086 162526629 216702172 270877715 325053258 433404344 541755430 650106516 812633145 866808688 1083510860 1300213032 1625266290 2167021720 2600426064 3250532580 4334043440 6501065160 13002130320