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1311013130 = 25724165257
BaseRepresentation
bin100111000100100…
…0111100100001010
310101100220100220212
41032021013210022
510141104410010
6334031321122
744326266500
oct11611074412
93340810825
101311013130
1161303a629
123070801a2
1317b7c2a1b
14c618a670
157a168505
hex4e24790a

1311013130 has 48 divisors (see below), whose sum is σ = 2812097736. Its totient is φ = 438520320.

The previous prime is 1311013127. The next prime is 1311013139. The reversal of 1311013130 is 313101131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 441294049 + 869719081 = 21007^2 + 29491^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1311013139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12539 + ... + 52718.

Almost surely, 21311013130 is an apocalyptic number.

1311013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311013130 is an abundant number, since it is smaller than the sum of its proper divisors (1501084606).

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

1311013130 is a wasteful number, since it uses less digits than its factorization.

1311013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65319 (or 65312 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1311013130 is about 36207.9152948634. The cubic root of 1311013130 is about 1094.4661826777.

Adding to 1311013130 its reverse (313101131), we get a palindrome (1624114261).

The spelling of 1311013130 in words is "one billion, three hundred eleven million, thirteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 410 490 574 1435 2009 2870 4018 10045 20090 65257 130514 326285 456799 652570 913598 2283995 2675537 3197593 4567990 5351074 6395186 13377685 15987965 18728759 26755370 31975930 37457518 93643795 131101313 187287590 262202626 655506565 1311013130