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12317130 = 23357419
BaseRepresentation
bin101110111111…
…000111001010
3212011202221000
4232333013022
511123122010
61115555430
7206460000
oct56770712
925152830
1012317130
116a53051
12415bb76
132723457
1418c8a70
1511347c0
hexbbf1ca

12317130 has 160 divisors (see below), whose sum is σ = 40334400. Its totient is φ = 2667168.

The previous prime is 12317119. The next prime is 12317153. The reversal of 12317130 is 3171321.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648261 + ... + 648279.

It is an arithmetic number, because the mean of its divisors is an integer number (252090).

Almost surely, 212317130 is an apocalyptic number.

12317130 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 12317130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167200).

12317130 is an abundant number, since it is smaller than the sum of its proper divisors (28017270).

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

12317130 is an equidigital number, since it uses as much as digits as its factorization.

12317130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 12317130 is about 3509.5768975761. The cubic root of 12317130 is about 230.9421342661.

Adding to 12317130 its reverse (3171321), we get a palindrome (15488451).

It can be divided in two parts, 123171 and 30, that added together give a square (123201 = 3512).

The spelling of 12317130 in words is "twelve million, three hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 49 54 57 63 70 90 95 98 105 114 126 133 135 147 171 189 190 210 245 266 270 285 294 315 342 343 378 399 441 490 513 570 630 665 686 735 798 855 882 931 945 1026 1029 1197 1323 1330 1470 1710 1715 1862 1890 1995 2058 2205 2394 2401 2565 2646 2793 3087 3430 3591 3990 4410 4655 4802 5130 5145 5586 5985 6174 6517 6615 7182 7203 8379 9261 9310 10290 11970 12005 13034 13230 13965 14406 15435 16758 17955 18522 19551 21609 24010 25137 27930 30870 32585 35910 36015 39102 41895 43218 45619 46305 50274 58653 64827 65170 72030 83790 91238 92610 97755 108045 117306 125685 129654 136857 175959 195510 216090 228095 251370 273714 293265 324135 351918 410571 456190 586530 648270 684285 821142 879795 1231713 1368570 1759590 2052855 2463426 4105710 6158565 12317130