Search a number
-
+
13313331130 = 2511261317569
BaseRepresentation
bin11000110011000100…
…10100111110111010
31021100211101021222011
430121202110332322
5204231203044010
610041022520134
7650626306321
oct143142247672
937324337864
1013313331130
115712034800
1226b673604a
131342289638
1490420d0b8
1552dbe5a8a
hex319894fba

13313331130 has 96 divisors (see below), whose sum is σ = 26904059280. Its totient is φ = 4738483200.

The previous prime is 13313331079. The next prime is 13313331149. The reversal of 13313331130 is 3113331331.

It can be written as a sum of positive squares in 8 ways, for example, as 26388769 + 13286942361 = 5137^2 + 115269^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23397486 + ... + 23398054.

Almost surely, 213313331130 is an apocalyptic number.

13313331130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13313331130 is an abundant number, since it is smaller than the sum of its proper divisors (13590728150).

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

13313331130 is a wasteful number, since it uses less digits than its factorization.

13313331130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 13313331130 its reverse (3113331331), we get a palindrome (16426662461).

It can be divided in two parts, 13313 and 331130, that added together give a palindrome (344443).

The spelling of 13313331130 in words is "thirteen billion, three hundred thirteen million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 55 61 110 121 122 242 305 317 569 605 610 634 671 1138 1210 1342 1585 2845 3170 3355 3487 5690 6259 6710 6974 7381 12518 14762 17435 19337 31295 34709 34870 36905 38357 38674 62590 68849 69418 73810 76714 96685 137698 173545 180373 191785 193370 212707 344245 347090 360746 381799 383570 425414 688490 763598 901865 1063535 1803730 1908995 1984103 2127070 2339777 3817990 3968206 4199789 4679554 8399578 9920515 11002753 11698885 19841030 20998945 21825133 22005506 23397770 41997890 43650266 55013765 109125665 110027530 121030283 218251330 242060566 605151415 1210302830 1331333113 2662666226 6656665565 13313331130