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13112201330000 = 24542322478677
BaseRepresentation
bin1011111011001110110000…
…0110100011110101010000
31201102111212212002122201022
42332303230012203311100
53204312242020030000
643515355004255012
72522216400230513
oct276635406436520
951374785078638
1013112201330000
1141a59428a86a3
121579295841468
13741624261146
143348c3710d7a
1517b129b60585
hexbecec1a3d50

13112201330000 has 150 divisors (see below), whose sum is σ = 33186234001074. Its totient is φ = 5016840224000.

The previous prime is 13112201329999. The next prime is 13112201330057. The reversal of 13112201330000 is 3310221131.

It can be written as a sum of positive squares in 5 ways, for example, as 9438707773504 + 3673493556496 = 3072248^2 + 1916636^2 .

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 4050662 + ... + 6529338.

Almost surely, 213112201330000 is an apocalyptic number.

13112201330000 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 13112201330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593117000537).

13112201330000 is an abundant number, since it is smaller than the sum of its proper divisors (20074032671074).

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

13112201330000 is an equidigital number, since it uses as much as digits as its factorization.

13112201330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478751 (or 2478707 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13112201330000 its reverse (3310221131), we get a palindrome (13115511551131).

The spelling of 13112201330000 in words is "thirteen trillion, one hundred twelve billion, two hundred one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 529 575 625 920 1000 1058 1150 1250 1840 2000 2116 2300 2500 2645 2875 4232 4600 5000 5290 5750 8464 9200 10000 10580 11500 13225 14375 21160 23000 26450 28750 42320 46000 52900 57500 66125 105800 115000 132250 211600 230000 264500 330625 529000 661250 1058000 1322500 2478677 2645000 4957354 5290000 9914708 12393385 19829416 24786770 39658832 49573540 57009571 61966925 99147080 114019142 123933850 198294160 228038284 247867700 285047855 309834625 456076568 495735400 570095710 619669250 912153136 991470800 1140191420 1239338500 1311220133 1425239275 1549173125 2280382840 2478677000 2622440266 2850478550 3098346250 4560765680 4957354000 5244880532 5700957100 6196692500 6556100665 7126196375 10489761064 11401914200 12393385000 13112201330 14252392750 20979522128 22803828400 24786770000 26224402660 28504785500 32780503325 35630981875 52448805320 57009571000 65561006650 71261963750 104897610640 114019142000 131122013300 142523927500 163902516625 262244026600 285047855000 327805033250 524488053200 570095710000 655610066500 819512583125 1311220133000 1639025166250 2622440266000 3278050332500 6556100665000 13112201330000