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1323300130020 = 22325111514426049
BaseRepresentation
bin10011010000011010110…
…101011000110011100100
311200111200001122200210200
4103100122311120303210
5133140104313130040
62451525442150500
7164414416341531
oct23203265306344
94614601580720
101323300130020
114702324747a0
1219456a652430
1397a2c3cb61b
1448095c81d88
152464e76c630
hex1341ad58ce4

1323300130020 has 144 divisors (see below), whose sum is σ = 4407920899200. Its totient is φ = 318675456000.

The previous prime is 1323300129973. The next prime is 1323300130021. The reversal of 1323300130020 is 200310033231.

1323300130020 is a `hidden beast` number, since 1 + 32 + 330 + 0 + 1 + 300 + 2 + 0 = 666.

It is a super-2 number, since 2×13233001300202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1323300129975 and 1323300130002.

It is not an unprimeable number, because it can be changed into a prime (1323300130021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1914045 + ... + 2512004.

It is an arithmetic number, because the mean of its divisors is an integer number (30610561800).

Almost surely, 21323300130020 is an apocalyptic number.

1323300130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323300130020 is an abundant number, since it is smaller than the sum of its proper divisors (3084620769180).

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

1323300130020 is a wasteful number, since it uses less digits than its factorization.

1323300130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426226 (or 4426221 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1323300130020 its reverse (200310033231), we get a palindrome (1523610163251).

The spelling of 1323300130020 in words is "one trillion, three hundred twenty-three billion, three hundred million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 220 302 330 396 453 495 604 660 755 906 990 1359 1510 1661 1812 1980 2265 2718 3020 3322 4530 4983 5436 6644 6795 8305 9060 9966 13590 14949 16610 19932 24915 27180 29898 33220 49830 59796 74745 99660 149490 298980 4426049 8852098 13278147 17704196 22130245 26556294 39834441 44260490 48686539 53112588 66390735 79668882 88520980 97373078 132781470 146059617 159337764 194746156 199172205 243432695 265562940 292119234 398344410 438178851 486865390 584238468 668333399 730298085 796688820 876357702 973730780 1336666798 1460596170 1752715404 2005000197 2190894255 2673333596 2921192340 3341666995 4010000394 4381788510 6015000591 6683333990 7351667389 8020000788 8763577020 10025000985 12030001182 13366667980 14703334778 20050001970 22055002167 24060002364 29406669556 30075002955 36758336945 40100003940 44110004334 60150005910 66165006501 73516673890 88220008668 110275010835 120300011820 132330013002 147033347780 220550021670 264660026004 330825032505 441100043340 661650065010 1323300130020