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1343332213300 = 2252711907192347
BaseRepresentation
bin10011100011000100110…
…101101110001000110100
311202102101010112222001001
4103203010311232020310
5134002121021311200
62505041315213044
7166024011261640
oct23430465561064
94672333488031
101343332213300
11478782017420
1219841b2a7184
13998a262a53c
1449036519c20
1524e2322476a
hex138c4d6e234

1343332213300 has 144 divisors (see below), whose sum is σ = 3638350130688. Its totient is φ = 418237142400.

The previous prime is 1343332213261. The next prime is 1343332213319. The reversal of 1343332213300 is 33122333431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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, 6887727 + ... + 7080073.

It is an arithmetic number, because the mean of its divisors is an integer number (25266320352).

Almost surely, 21343332213300 is an apocalyptic number.

1343332213300 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 1343332213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819175065344).

1343332213300 is an abundant number, since it is smaller than the sum of its proper divisors (2295017917388).

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

1343332213300 is a wasteful number, since it uses less digits than its factorization.

1343332213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193286 (or 193279 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 1343332213300 its reverse (33122333431), we get a palindrome (1376454546731).

The spelling of 1343332213300 in words is "one trillion, three hundred forty-three billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 907 1100 1540 1814 1925 3628 3850 4535 6349 7700 9070 9977 12698 18140 19954 22675 25396 31745 39908 45350 49885 63490 69839 90700 99770 126980 139678 158725 192347 199540 249425 279356 317450 349195 384694 498850 634900 698390 769388 961735 997700 1346429 1396780 1745975 1923470 2115817 2692858 3491950 3846940 4231634 4808675 5385716 6732145 6983900 8463268 9617350 10579085 13464290 14810719 19234700 21158170 26928580 29621438 33660725 42316340 52895425 59242876 67321450 74053595 105790850 134642900 148107190 174458729 211581700 296214380 348917458 370267975 697834916 740535950 872293645 1221211103 1481071900 1744587290 1919046019 2442422206 3489174580 3838092038 4361468225 4884844412 6106055515 7676184076 8722936450 9595230095 12212111030 13433322133 17445872900 19190460190 24424222060 26866644266 30530277575 38380920380 47976150475 53733288532 61060555150 67166610665 95952300950 122121110300 134333221330 191904601900 268666442660 335833053325 671666106650 1343332213300