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1321302220 = 2257174113
BaseRepresentation
bin100111011000001…
…0111100011001100
310102002021002220021
41032300113203030
510201223132340
6335040031524
744512612030
oct11660274314
93362232807
101321302220
11618927a07
1230a6025a4
13180986044
14c76a81c0
157aeebe4a
hex4ec178cc

1321302220 has 120 divisors (see below), whose sum is σ = 3399135264. Its totient is φ = 422596608.

The previous prime is 1321302217. The next prime is 1321302221. The reversal of 1321302220 is 222031231.

It is a junction number, because it is equal to n+sod(n) for n = 1321302194 and 1321302203.

It is not an unprimeable number, because it can be changed into a prime (1321302221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11692884 + ... + 11692996.

Almost surely, 21321302220 is an apocalyptic number.

1321302220 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 1321302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699567632).

1321302220 is an abundant number, since it is smaller than the sum of its proper divisors (2077833044).

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

1321302220 is an equidigital number, since it uses as much as digits as its factorization.

1321302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1321302220 is about 36349.7210443216. The cubic root of 1321302220 is about 1097.3219204530.

Adding to 1321302220 its reverse (222031231), we get a palindrome (1543333451).

The spelling of 1321302220 in words is "one billion, three hundred twenty-one million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 113 119 140 170 226 238 289 340 452 476 565 578 595 791 1130 1156 1190 1445 1582 1921 2023 2260 2380 2890 3164 3842 3955 4046 4913 5780 7684 7910 8092 9605 9826 10115 13447 15820 19210 19652 20230 24565 26894 32657 34391 38420 40460 49130 53788 65314 67235 68782 83521 98260 130628 134470 137564 163285 167042 171955 228599 268940 326570 334084 343910 417605 457198 555169 584647 653140 687820 835210 914396 1110338 1142995 1169294 1670420 2220676 2285990 2338588 2775845 2923235 3886183 4571980 5551690 5846470 7772366 9437873 11103380 11692940 15544732 18875746 19430915 37751492 38861830 47189365 66065111 77723660 94378730 132130222 188757460 264260444 330325555 660651110 1321302220