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1300320332120 = 235374639112083
BaseRepresentation
bin10010111011000001001…
…000011010100101011000
311121022100120010000021202
4102323001020122211120
5132301024001111440
62433205305253332
7162642102312305
oct22730110324530
94538316100252
101300320332120
1146150aa23487
12190016794248
1395809593884
1446d15d320ac
1523c570ed615
hex12ec121a958

1300320332120 has 128 divisors (see below), whose sum is σ = 3016036823040. Its totient is φ = 504181117440.

The previous prime is 1300320332041. The next prime is 1300320332149. The reversal of 1300320332120 is 212330230031.

It is a super-2 number, since 2×13003203321202 (a number of 25 digits) contains 22 as substring.

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 = 1300320332092 and 1300320332101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624252599 + ... + 624254681.

It is an arithmetic number, because the mean of its divisors is an integer number (23562787680).

Almost surely, 21300320332120 is an apocalyptic number.

1300320332120 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 1300320332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508018411520).

1300320332120 is an abundant number, since it is smaller than the sum of its proper divisors (1715716490920).

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

1300320332120 is a wasteful number, since it uses less digits than its factorization.

1300320332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3501 counting only the distinct ones).

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

Adding to 1300320332120 its reverse (212330230031), we get a palindrome (1512650562151).

The spelling of 1300320332120 in words is "one trillion, three hundred billion, three hundred twenty million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 463 740 911 926 1480 1822 1852 2083 2315 3644 3704 4166 4555 4630 7288 8332 9110 9260 10415 16664 17131 18220 18520 20830 33707 34262 36440 41660 67414 68524 77071 83320 85655 134828 137048 154142 168535 171310 269656 308284 337070 342620 385355 421793 616568 674140 685240 770710 843586 964429 1348280 1541420 1687172 1897613 1928858 2108965 3082840 3374344 3795226 3857716 4217930 4822145 7590452 7715432 8435860 9488065 9644290 15180904 15606341 16871720 18976130 19288580 31212682 35683873 37952260 38577160 62425364 70211681 71367746 75904520 78031705 124850728 140423362 142735492 156063410 178419365 280846724 285470984 312126820 351058405 356838730 561693448 624253640 702116810 713677460 878594819 1404233620 1427354920 1757189638 2808467240 3514379276 4392974095 7028758552 8785948190 17571896380 32508008303 35143792760 65016016606 130032033212 162540041515 260064066424 325080083030 650160166060 1300320332120