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1300322330120 = 2351137577138427
BaseRepresentation
bin10010111011000001010…
…000000010011000001000
311121022100200212112000202
4102323001100002120020
5132301030004030440
62433205420151332
7162642125303342
oct22730120023010
94538320775022
101300322330120
11461511068620
12190017398548
1395809b13118
1446d162d2292
1523c57395615
hex12ec1402608

1300322330120 has 128 divisors (see below), whose sum is σ = 3283667199360. Its totient is φ = 459264245760.

The previous prime is 1300322330117. The next prime is 1300322330123. The reversal of 1300322330120 is 210332230031.

It is an interprime number because it is at equal distance from previous prime (1300322330117) and next prime (1300322330123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1300322330092 and 1300322330101.

It is not an unprimeable number, because it can be changed into a prime (1300322330123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9324347 + ... + 9462773.

It is an arithmetic number, because the mean of its divisors is an integer number (25653649995).

Almost surely, 21300322330120 is an apocalyptic number.

1300322330120 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 1300322330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641833599680).

1300322330120 is an abundant number, since it is smaller than the sum of its proper divisors (1983344869240).

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

1300322330120 is a wasteful number, since it uses less digits than its factorization.

1300322330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139063 (or 139059 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1300322330120 its reverse (210332230031), we get a palindrome (1510654560151).

The spelling of 1300322330120 in words is "one trillion, three hundred billion, three hundred twenty-two million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 577 740 814 1154 1480 1628 2035 2308 2885 3256 4070 4616 5770 6347 8140 11540 12694 16280 21349 23080 25388 31735 42698 50776 63470 85396 106745 126940 138427 170792 213490 234839 253880 276854 426980 469678 553708 692135 853960 939356 1107416 1174195 1384270 1522697 1878712 2348390 2768540 3045394 4696780 5121799 5537080 6090788 7613485 9393560 10243598 12181576 15226970 20487196 25608995 30453940 40974392 51217990 56339789 60907880 79872379 102435980 112679578 159744758 204871960 225359156 281698945 319489516 399361895 450718312 563397890 638979032 798723790 878596169 1126795780 1597447580 1757192338 2253591560 2955278023 3194895160 3514384676 4392980845 5910556046 7028769352 8785961690 11821112092 14776390115 17571923380 23642224184 29552780230 32508058253 35143846760 59105560460 65016116506 118211120920 130032233012 162540291265 260064466024 325080582530 650161165060 1300322330120