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134431024321 = 1121765352953
BaseRepresentation
bin111110100110010110…
…1101010010011000001
3110211222201200121021201
41331030231222103001
54200303320234241
6141431243221201
712466216565416
oct1751455522301
9424881617251
10134431024321
1152014899300
1222078817801
13c8a4baab09
146713b7c10d
15376bd79931
hex1f4cb6a4c1

134431024321 has 12 divisors (see below), whose sum is σ = 156454971876. Its totient is φ = 115021195520.

The previous prime is 134431024319. The next prime is 134431024363. The reversal of 134431024321 is 123420134431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 107020579600 + 27410444721 = 327140^2 + 165561^2 .

It is not a de Polignac number, because 134431024321 - 21 = 134431024319 is a prime.

It is a super-2 number, since 2×1344310243212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 134431024321.

It is not an unprimeable number, because it can be changed into a prime (134431025321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32674420 + ... + 32678533.

It is an arithmetic number, because the mean of its divisors is an integer number (13037914323).

Almost surely, 2134431024321 is an apocalyptic number.

134431024321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

134431024321 is a deficient number, since it is larger than the sum of its proper divisors (22023947555).

134431024321 is a wasteful number, since it uses less digits than its factorization.

134431024321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65352992 (or 65352981 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 134431024321 its reverse (123420134431), we get a palindrome (257851158752).

It can be divided in two parts, 1344310 and 24321, that added together give a palindrome (1368631).

The spelling of 134431024321 in words is "one hundred thirty-four billion, four hundred thirty-one million, twenty-four thousand, three hundred twenty-one".

Divisors: 1 11 17 121 187 2057 65352953 718882483 1111000201 7907707313 12221002211 134431024321