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1301231120 = 24576779439
BaseRepresentation
bin100110110001111…
…0011011000010000
310100200111101112012
41031203303120100
510131103343440
6333041522052
744150165510
oct11543633020
93320441465
101301231120
11608569222
12303943328
13179779457
14c4b61840
1579384e65
hex4d8f3610

1301231120 has 160 divisors (see below), whose sum is σ = 3561676800. Its totient is φ = 432926208.

The previous prime is 1301231111. The next prime is 1301231149. The reversal of 1301231120 is 211321031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1301231095 and 1301231104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2963861 + ... + 2964299.

It is an arithmetic number, because the mean of its divisors is an integer number (22260480).

Almost surely, 21301231120 is an apocalyptic number.

1301231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780838400).

1301231120 is an abundant number, since it is smaller than the sum of its proper divisors (2260445680).

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

1301231120 is a wasteful number, since it uses less digits than its factorization.

1301231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1301231120 is about 36072.5812771972. The cubic root of 1301231120 is about 1091.7372963127.

Adding to 1301231120 its reverse (211321031), we get a palindrome (1512552151).

The spelling of 1301231120 in words is "one billion, three hundred one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 79 80 112 134 140 158 268 280 316 335 395 439 469 536 553 560 632 670 790 878 938 1072 1106 1264 1340 1580 1756 1876 2195 2212 2345 2680 2765 3073 3160 3512 3752 4390 4424 4690 5293 5360 5530 6146 6320 7024 7504 8780 8848 9380 10586 11060 12292 15365 17560 18760 21172 22120 24584 26465 29413 30730 34681 35120 37051 37520 42344 44240 49168 52930 58826 61460 69362 74102 84688 105860 117652 122920 138724 147065 148204 173405 185255 205891 211720 235304 242767 245840 277448 294130 296408 346810 370510 411782 423440 470608 485534 554896 588260 592816 693620 741020 823564 971068 1029455 1176520 1213835 1387240 1482040 1647128 1942136 2058910 2323627 2353040 2427670 2774480 2964080 3294256 3884272 4117820 4647254 4855340 8235640 9294508 9710680 11618135 16265389 16471280 18589016 19421360 23236270 32530778 37178032 46472540 65061556 81326945 92945080 130123112 162653890 185890160 260246224 325307780 650615560 1301231120