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13013310210 = 235412833109
BaseRepresentation
bin11000001111010011…
…10101101100000010
31020120220211122122020
430013221311230002
5203122401411320
65551144222310
7640324211625
oct140751655402
936526748566
1013013310210
11557874662a
12263216a996
1312c5082174
148b6431dbc
155126d0940
hex307a75b02

13013310210 has 96 divisors (see below), whose sum is σ = 32408389440. Its totient is φ = 3343710720.

The previous prime is 13013310209. The next prime is 13013310257. The reversal of 13013310210 is 1201331031.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13013310210.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4184136 + ... + 4187244.

It is an arithmetic number, because the mean of its divisors is an integer number (337587390).

Almost surely, 213013310210 is an apocalyptic number.

13013310210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013310210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204194720).

13013310210 is an abundant number, since it is smaller than the sum of its proper divisors (19395079230).

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

13013310210 is a wasteful number, since it uses less digits than its factorization.

13013310210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13013310210 its reverse (1201331031), we get a palindrome (14214641241).

The spelling of 13013310210 in words is "thirteen billion, thirteen million, three hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 83 123 166 205 246 249 410 415 498 615 830 1230 1245 1681 2490 3109 3362 3403 5043 6218 6806 8405 9327 10086 10209 15545 16810 17015 18654 20418 25215 31090 34030 46635 50430 51045 93270 102090 127469 139523 254938 258047 279046 382407 418569 516094 637345 697615 764814 774141 837138 1274690 1290235 1395230 1548282 1912035 2092845 2580470 3824070 3870705 4185690 5226229 7741410 10452458 10579927 15678687 21159854 26131145 31357374 31739781 52262290 52899635 63479562 78393435 105799270 156786870 158698905 317397810 433777007 867554014 1301331021 2168885035 2602662042 4337770070 6506655105 13013310210