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12302101320 = 23351372812663
BaseRepresentation
bin10110111010100001…
…10010101101001000
31011202100120111110020
423131100302231020
5200143314220240
65352420420440
7613600064415
oct133520625510
934670514406
1012302101320
115243240893
122473b47720
131210919bc2
14849bbb10c
154c00470d0
hex2dd432b48

12302101320 has 128 divisors (see below), whose sum is σ = 37322000640. Its totient is φ = 3243806720.

The previous prime is 12302101313. The next prime is 12302101321. The reversal of 12302101320 is 2310120321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12302101320.

It is not an unprimeable number, because it can be changed into a prime (12302101321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4618309 + ... + 4620971.

It is an arithmetic number, because the mean of its divisors is an integer number (291578130).

Almost surely, 212302101320 is an apocalyptic number.

12302101320 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 12302101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661000320).

12302101320 is an abundant number, since it is smaller than the sum of its proper divisors (25019899320).

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

12302101320 is a wasteful number, since it uses less digits than its factorization.

12302101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12302101320 its reverse (2310120321), we get a palindrome (14612221641).

The spelling of 12302101320 in words is "twelve billion, three hundred two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 281 411 548 562 685 822 843 1096 1124 1370 1405 1644 1686 2055 2248 2663 2740 2810 3288 3372 4110 4215 5326 5480 5620 6744 7989 8220 8430 10652 11240 13315 15978 16440 16860 21304 26630 31956 33720 38497 39945 53260 63912 76994 79890 106520 115491 153988 159780 192485 230982 307976 319560 364831 384970 461964 577455 729662 748303 769940 923928 1094493 1154910 1459324 1496606 1539880 1824155 2188986 2244909 2309820 2918648 2993212 3648310 3741515 4377972 4489818 4619640 5472465 5986424 7296620 7483030 8755944 8979636 10944930 11224545 14593240 14966060 17959272 21889860 22449090 29932120 43779720 44898180 89796360 102517511 205035022 307552533 410070044 512587555 615105066 820140088 1025175110 1230210132 1537762665 2050350220 2460420264 3075525330 4100700440 6151050660 12302101320