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13461220410 = 23511101403877
BaseRepresentation
bin11001000100101100…
…11110110000111010
31021202010122211220220
430202112132300322
5210032033023120
610103424400510
7654403325361
oct144226366072
937663584826
1013461220410
115788565150
122738176136
131366ac98a1
14919b087d8
1553bba9b40
hex32259ec3a

13461220410 has 64 divisors (see below), whose sum is σ = 35592960384. Its totient is φ = 3231008000.

The previous prime is 13461220393. The next prime is 13461220429. The reversal of 13461220410 is 1402216431.

13461220410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 168609 + ... + 235268.

It is an arithmetic number, because the mean of its divisors is an integer number (556140006).

Almost surely, 213461220410 is an apocalyptic number.

13461220410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13461220410 is an abundant number, since it is smaller than the sum of its proper divisors (22131739974).

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

13461220410 is a wasteful number, since it uses less digits than its factorization.

13461220410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403999.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13461220410 its reverse (1402216431), we get a palindrome (14863436841).

The spelling of 13461220410 in words is "thirteen billion, four hundred sixty-one million, two hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 16665 33330 403877 807754 1211631 2019385 2423262 4038770 4442647 6058155 8885294 12116310 13327941 22213235 26655882 40791577 44426470 66639705 81583154 122374731 133279410 203957885 244749462 407915770 448707347 611873655 897414694 1223747310 1346122041 2243536735 2692244082 4487073470 6730610205 13461220410