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1313507130 = 235139113697
BaseRepresentation
bin100111001001010…
…1000011100111010
310101112121002001020
41032102220130322
510142224212010
6334201003310
744356424565
oct11622503472
93345532036
101313507130
11614493391
12307a83536
1317c186c70
14c66394dc
157a4ac470
hex4e4a873a

1313507130 has 64 divisors (see below), whose sum is σ = 3399556608. Its totient is φ = 322882560.

The previous prime is 1313507113. The next prime is 1313507149. The reversal of 1313507130 is 317053131.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1313507130.

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, 353442 + ... + 357138.

It is an arithmetic number, because the mean of its divisors is an integer number (53118072).

Almost surely, 21313507130 is an apocalyptic number.

1313507130 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 1313507130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699778304).

1313507130 is an abundant number, since it is smaller than the sum of its proper divisors (2086049478).

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

1313507130 is a wasteful number, since it uses less digits than its factorization.

1313507130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 1313507130 is about 36242.3389145899. The cubic root of 1313507130 is about 1095.1597606809.

The spelling of 1313507130 in words is "one billion, three hundred thirteen million, five hundred seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 911 1822 2733 3697 4555 5466 7394 9110 11091 11843 13665 18485 22182 23686 27330 35529 36970 48061 55455 59215 71058 96122 110910 118430 144183 177645 240305 288366 355290 480610 720915 1441830 3367967 6735934 10103901 16839835 20207802 33679670 43783571 50519505 87567142 101039010 131350713 218917855 262701426 437835710 656753565 1313507130