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13111230322320 = 2435134202317411
BaseRepresentation
bin1011111011001011001000…
…1110011101011010010000
31201102102101011222100120220
42332302302032131122100
53204303244430303240
643515114400233040
72522153336630364
oct276626216353220
951372334870526
1013111230322320
1141a5494787209
12157906460b780
137414cb0353a0
1433483078d2a4
1517b0be7a95d0
hexbecb239d690

13111230322320 has 80 divisors (see below), whose sum is σ = 43771338163392. Its totient is φ = 3227379770880.

The previous prime is 13111230322259. The next prime is 13111230322373. The reversal of 13111230322320 is 2322303211131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×131112303223203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101155586 + ... + 2101161825.

Almost surely, 213111230322320 is an apocalyptic number.

13111230322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111230322320 is an abundant number, since it is smaller than the sum of its proper divisors (30660107841072).

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

13111230322320 is a wasteful number, since it uses less digits than its factorization.

13111230322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202317440 (or 4202317434 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13111230322320 its reverse (2322303211131), we get a palindrome (15433533533451).

The spelling of 13111230322320 in words is "thirteen trillion, one hundred eleven billion, two hundred thirty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4202317411 8404634822 12606952233 16809269644 21011587055 25213904466 33618539288 42023174110 50427808932 54630126343 63034761165 67237078576 84046348220 100855617864 109260252686 126069522330 163890379029 168092696440 201711235728 218520505372 252139044660 273150631715 327780758058 336185392880 437041010744 504278089320 546301263430 655561516116 819451895145 874082021488 1008556178640 1092602526860 1311123032232 1638903790290 2185205053720 2622246064464 3277807580580 4370410107440 6555615161160 13111230322320