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13141311030 = 23251273533257
BaseRepresentation
bin11000011110100100…
…00111111000110110
31020220211200202202100
430033102013320312
5203403133423110
610011555522530
7643440205101
oct141722077066
936824622670
1013141311030
115633a22531
122668bb9446
13131574a9b3
148c9431738
1551da66bc0
hex30f487e36

13141311030 has 96 divisors (see below), whose sum is σ = 34544600064. Its totient is φ = 3465842688.

The previous prime is 13141311017. The next prime is 13141311089. The reversal of 13141311030 is 3011314131.

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

It is a junction number, because it is equal to n+sod(n) for n = 13141310994 and 13141311012.

It is a congruent number.

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, 4033162 + ... + 4036418.

It is an arithmetic number, because the mean of its divisors is an integer number (359839584).

Almost surely, 213141311030 is an apocalyptic number.

13141311030 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 13141311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17272300032).

13141311030 is an abundant number, since it is smaller than the sum of its proper divisors (21403289034).

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

13141311030 is a wasteful number, since it uses less digits than its factorization.

13141311030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13141311030 its reverse (3011314131), we get a palindrome (16152625161).

The spelling of 13141311030 in words is "thirteen billion, one hundred forty-one million, three hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 353 381 635 706 762 1059 1143 1270 1765 1905 2118 2286 3177 3257 3530 3810 5295 5715 6354 6514 9771 10590 11430 15885 16285 19542 29313 31770 32570 44831 48855 58626 89662 97710 134493 146565 224155 268986 293130 403479 413639 448310 672465 806958 827278 1149721 1240917 1344930 2017395 2068195 2299442 2481834 3449163 3722751 4034790 4136390 5748605 6204585 6898326 7445502 10347489 11497210 12409170 17245815 18613755 20694978 34491630 37227510 51737445 103474890 146014567 292029134 438043701 730072835 876087402 1314131103 1460145670 2190218505 2628262206 4380437010 6570655515 13141311030