Search a number
-
+
4131004130 = 2511219179687
BaseRepresentation
bin1111011000111010…
…0001111011100010
3101122220012202022222
43312032201323202
531430014113010
61521525431042
7204240645551
oct36616417342
911586182288
104131004130
11182a931600
1297356b482
1350aacc256
142b28d5d98
15192a01355
hexf63a1ee2

4131004130 has 48 divisors (see below), whose sum is σ = 8603461440. Its totient is φ = 1423113120.

The previous prime is 4131004123. The next prime is 4131004133. The reversal of 4131004130 is 314001314.

It is a junction number, because it is equal to n+sod(n) for n = 4131004099 and 4131004108.

It is not an unprimeable number, because it can be changed into a prime (4131004133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66854 + ... + 112833.

It is an arithmetic number, because the mean of its divisors is an integer number (179238780).

Almost surely, 24131004130 is an apocalyptic number.

4131004130 is an abundant number, since it is smaller than the sum of its proper divisors (4472457310).

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

4131004130 is a wasteful number, since it uses less digits than its factorization.

4131004130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179735 (or 179724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4131004130 is about 64272.8879855262. The cubic root of 4131004130 is about 1604.5449070903.

Adding to 4131004130 its reverse (314001314), we get a palindrome (4445005444).

The spelling of 4131004130 in words is "four billion, one hundred thirty-one million, four thousand, one hundred thirty".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 121 190 209 242 418 605 1045 1210 2090 2299 4598 11495 22990 179687 359374 898435 1796870 1976557 3414053 3953114 6828106 9882785 17070265 19765570 21742127 34140530 37554583 43484254 75109166 108710635 187772915 217421270 375545830 413100413 826200826 2065502065 4131004130