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1013441130 = 2325136071427
BaseRepresentation
bin111100011001111…
…110001001101010
32121121222010212200
4330121332021222
54033420104010
6244321321030
734054051602
oct7431761152
92547863780
101013441130
11480074359
12243496176
13131c65110
1498849c02
155de88cc0
hex3c67e26a

1013441130 has 96 divisors (see below), whose sum is σ = 2844301824. Its totient is φ = 248876928.

The previous prime is 1013441113. The next prime is 1013441147. The reversal of 1013441130 is 311443101.

It is an interprime number because it is at equal distance from previous prime (1013441113) and next prime (1013441147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709477 + ... + 710903.

It is an arithmetic number, because the mean of its divisors is an integer number (29628144).

Almost surely, 21013441130 is an apocalyptic number.

1013441130 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 1013441130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422150912).

1013441130 is an abundant number, since it is smaller than the sum of its proper divisors (1830860694).

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

1013441130 is a wasteful number, since it uses less digits than its factorization.

1013441130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1013441130 is about 31834.5901497098. The cubic root of 1013441130 is about 1004.4604514583.

Adding to 1013441130 its reverse (311443101), we get a palindrome (1324884231).

The spelling of 1013441130 in words is "one billion, thirteen million, four hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 607 1170 1214 1427 1821 2854 3035 3642 4281 5463 6070 7135 7891 8562 9105 10926 12843 14270 15782 18210 18551 21405 23673 25686 27315 37102 39455 42810 47346 54630 55653 64215 71019 78910 92755 111306 118365 128430 142038 166959 185510 236730 278265 333918 355095 556530 710190 834795 866189 1669590 1732378 2598567 4330945 5197134 7795701 8661890 11260457 12992835 15591402 22520914 25985670 33781371 38978505 56302285 67562742 77957010 101344113 112604570 168906855 202688226 337813710 506720565 1013441130