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13130110110 = 23513211379421
BaseRepresentation
bin11000011101001110…
…11001010010011110
31020220001121200222110
430032213121102132
5203342302010420
610010515454450
7643243044255
oct141647312236
936801550873
1013130110110
115628672077
1226652b7426
131313328630
148c7b5779c
1551caa2ee0
hex30e9d949e

13130110110 has 128 divisors (see below), whose sum is σ = 34268290560. Its totient is φ = 3200601600.

The previous prime is 13130110069. The next prime is 13130110121. The reversal of 13130110110 is 1101103131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31187700 + ... + 31188120.

It is an arithmetic number, because the mean of its divisors is an integer number (267721020).

Almost surely, 213130110110 is an apocalyptic number.

13130110110 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 13130110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17134145280).

13130110110 is an abundant number, since it is smaller than the sum of its proper divisors (21138180450).

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

13130110110 is a wasteful number, since it uses less digits than its factorization.

13130110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 13130110110 its reverse (1101103131), we get a palindrome (14231213241).

The spelling of 13130110110 in words is "thirteen billion, one hundred thirty million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 211 379 390 421 422 633 758 842 1055 1137 1263 1266 1895 2105 2110 2274 2526 2743 3165 3790 4210 4927 5473 5486 5685 6315 6330 8229 9854 10946 11370 12630 13715 14781 16419 16458 24635 27365 27430 29562 32838 41145 49270 54730 73905 79969 82095 82290 88831 147810 159559 159938 164190 177662 239907 266493 319118 399845 444155 478677 479814 532986 797795 799690 888310 957354 1039597 1154803 1199535 1332465 1595590 2074267 2079194 2309606 2393385 2399070 2664930 3118791 3464409 4148534 4786770 5197985 5774015 6222801 6237582 6928818 10371335 10395970 11548030 12445602 15593955 17322045 20742670 31114005 31187910 33666949 34644090 62228010 67333898 101000847 168334745 202001694 336669490 437670337 505004235 875340674 1010008470 1313011011 2188351685 2626022022 4376703370 6565055055 13130110110