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13414241100 = 22352133439549
BaseRepresentation
bin11000111111000110…
…10001001101001100
31021121212021001102110
430133203101031030
5204433021203400
610055025424020
7653263111431
oct143743211514
937555231373
1013414241100
115763a97977
12272449b010
13135a15b390
14913799b88
155379c9e50
hex31f8d134c

13414241100 has 72 divisors (see below), whose sum is σ = 41797411600. Its totient is φ = 3301966080.

The previous prime is 13414241069. The next prime is 13414241101. The reversal of 13414241100 is 114241431.

13414241100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13414241101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1715875 + ... + 1723674.

Almost surely, 213414241100 is an apocalyptic number.

13414241100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414241100 is an abundant number, since it is smaller than the sum of its proper divisors (28383170500).

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

13414241100 is a wasteful number, since it uses less digits than its factorization.

13414241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439579 (or 3439572 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 13414241100 its reverse (114241431), we get a palindrome (13528482531).

The spelling of 13414241100 in words is "thirteen billion, four hundred fourteen million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 3439549 6879098 10318647 13758196 17197745 20637294 34395490 41274588 44714137 51593235 68790980 85988725 89428274 103186470 134142411 171977450 178856548 206372940 223570685 257966175 268284822 343954900 447141370 515932350 536569644 670712055 894282740 1031864700 1117853425 1341424110 2235706850 2682848220 3353560275 4471413700 6707120550 13414241100