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1313040015 = 3257397877
BaseRepresentation
bin100111001000011…
…0110011010001111
310101111201100021200
41032100312122033
510142114240030
6334143000543
744352441000
oct11620663217
93344640250
101313040015
116141a4441
12307899153
1317c052471
14c65571a7
157a418d60
hex4e43668f

1313040015 has 96 divisors (see below), whose sum is σ = 2684572800. Its totient is φ = 593381376.

The previous prime is 1313040007. The next prime is 1313040037. The reversal of 1313040015 is 5100403131.

1313040015 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1313040015 - 23 = 1313040007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1313040015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1496757 + ... + 1497633.

It is an arithmetic number, because the mean of its divisors is an integer number (27964300).

Almost surely, 21313040015 is an apocalyptic number.

1313040015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1313040015 is an abundant number, since it is smaller than the sum of its proper divisors (1371532785).

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

1313040015 is an equidigital number, since it uses as much as digits as its factorization.

1313040015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1313040015 is about 36235.8940140850. The cubic root of 1313040015 is about 1095.0299234958.

Adding to 1313040015 its reverse (5100403131), we get a palindrome (6413443146).

The spelling of 1313040015 in words is "one billion, three hundred thirteen million, forty thousand, fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 97 105 147 245 291 315 343 441 485 679 735 873 877 1029 1455 1715 2037 2205 2631 3087 3395 4365 4385 4753 5145 6111 6139 7893 10185 13155 14259 15435 18417 23765 30555 30695 33271 39465 42777 42973 55251 71295 85069 92085 99813 128919 166355 213885 214865 255207 276255 299439 300811 386757 425345 499065 595483 644595 765621 902433 1276035 1497195 1504055 1786449 1933785 2707299 2977415 3828105 4168381 4512165 5359347 8932245 12505143 13536495 20841905 26796735 29178667 37515429 62525715 87536001 145893335 187577145 262608003 437680005 1313040015