Search a number
-
+
13031213131130 = 25173717771165861
BaseRepresentation
bin1011110110100001000011…
…0101000110010101111010
31201010202211122111212201012
42331220100311012111322
53202000411030144010
643414242350153522
72513321416005605
oct275502065062572
951122748455635
1013031213131130
1141745630a9137
121565652ab28a2
13736ab849178c
143309dd61b33c
15178e89a42005
hexbda10d4657a

13031213131130 has 64 divisors (see below), whose sum is σ = 25521577254432. Its totient is φ = 4770587197440.

The previous prime is 13031213131121. The next prime is 13031213131171. The reversal of 13031213131130 is 3113131213031.

13031213131130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 5184105120769 + 7847108010361 = 2276863^2 + 2801269^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13031213131096 and 13031213131105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10594400 + ... + 11760260.

Almost surely, 213031213131130 is an apocalyptic number.

13031213131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13031213131130 is a deficient number, since it is larger than the sum of its proper divisors (12490364123302).

13031213131130 is a wasteful number, since it uses less digits than its factorization.

13031213131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167699.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13031213131130 its reverse (3113131213031), we get a palindrome (16144344344161).

The spelling of 13031213131130 in words is "thirteen trillion, thirty-one billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 17 34 37 74 85 170 185 370 629 1258 1777 3145 3554 6290 8885 17770 30209 60418 65749 131498 151045 302090 328745 657490 1117733 1165861 2235466 2331722 5588665 5829305 11177330 11658610 19819637 39639274 43136857 86273714 99098185 198196370 215684285 431368570 733326569 1466653138 2071734997 3666632845 4143469994 7333265690 10358674985 20717349970 35219494949 70438989898 76654194889 153308389778 176097474745 352194949490 383270974445 766541948890 1303121313113 2606242626226 6515606565565 13031213131130