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130041330 = 23517253283
BaseRepresentation
bin1111100000001…
…00010111110010
3100001200210011120
413300010113302
5231242310310
620523123110
73136222146
oct760042762
9301623146
10130041330
116744aa81
1237673496
1320c31543
14133b1226
15b63ab70
hex7c045f2

130041330 has 96 divisors (see below), whose sum is σ = 338986944. Its totient is φ = 31908864.

The previous prime is 130041323. The next prime is 130041337. The reversal of 130041330 is 33140031.

It is an interprime number because it is at equal distance from previous prime (130041323) and next prime (130041337).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (130041337) 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 47 ways as a sum of consecutive naturals, for example, 459369 + ... + 459651.

It is an arithmetic number, because the mean of its divisors is an integer number (3531114).

Almost surely, 2130041330 is an apocalyptic number.

130041330 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 130041330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169493472).

130041330 is an abundant number, since it is smaller than the sum of its proper divisors (208945614).

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

130041330 is a wasteful number, since it uses less digits than its factorization.

130041330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130041330 is about 11403.5665473570. The cubic root of 130041330 is about 506.6333806811.

Adding to 130041330 its reverse (33140031), we get a palindrome (163181361).

The spelling of 130041330 in words is "one hundred thirty million, forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 283 289 318 510 530 566 578 795 849 867 901 1415 1445 1590 1698 1734 1802 2703 2830 2890 4245 4335 4505 4811 5406 8490 8670 9010 9622 13515 14433 14999 15317 24055 27030 28866 29998 30634 44997 45951 48110 72165 74995 76585 81787 89994 91902 144330 149990 153170 163574 224985 229755 245361 254983 408935 449970 459510 490722 509966 764949 817870 1226805 1274915 1529898 2453610 2549830 3824745 4334711 7649490 8669422 13004133 21673555 26008266 43347110 65020665 130041330