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13431120032 = 251123468781
BaseRepresentation
bin11001000001000111…
…01010000010100000
31021200001000120222002
430200203222002200
5210001331320112
610100431303132
7653556431231
oct144043520240
937601016862
1013431120032
115772576300
12272a07aaa8
1313607bb005
14915b11088
155392111c2
hex3208ea0a0

13431120032 has 36 divisors (see below), whose sum is σ = 29064924378. Its totient is φ = 6105052800.

The previous prime is 13431120019. The next prime is 13431120061. The reversal of 13431120032 is 23002113431.

It can be written as a sum of positive squares in only one way, i.e., 13380936976 + 50183056 = 115676^2 + 7084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13431119986 and 13431120013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1730519 + ... + 1738262.

Almost surely, 213431120032 is an apocalyptic number.

It is an amenable number.

13431120032 is an abundant number, since it is smaller than the sum of its proper divisors (15633804346).

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

13431120032 is a wasteful number, since it uses less digits than its factorization.

13431120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468813 (or 3468794 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13431120032 its reverse (23002113431), we get a palindrome (36433233463).

The spelling of 13431120032 in words is "thirteen billion, four hundred thirty-one million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 3468781 6937562 13875124 27750248 38156591 55500496 76313182 111000992 152626364 305252728 419722501 610505456 839445002 1221010912 1678890004 3357780008 6715560016 13431120032