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643430404131 = 3412127588817
BaseRepresentation
bin10010101110011110111…
…00001101000000100011
32021111210202211011210120
421113033130031000203
541020221140413011
61211330550331323
764325543124024
oct11271734150043
92244722734716
10643430404131
11228971763a79
12a484b659b43
13488a161c7a8
14231dc294c4b
1511b0cab5a06
hex95cf70d023

643430404131 has 12 divisors (see below), whose sum is σ = 879342133656. Its totient is φ = 418491316480.

The previous prime is 643430404129. The next prime is 643430404157. The reversal of 643430404131 is 131404034346.

It is a happy number.

It is not a de Polignac number, because 643430404131 - 21 = 643430404129 is a prime.

It is a super-2 number, since 2×6434304041312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 643430404092 and 643430404101.

It is not an unprimeable number, because it can be changed into a prime (643430404181) 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, 63789366 + ... + 63799451.

It is an arithmetic number, because the mean of its divisors is an integer number (73278511138).

Almost surely, 2643430404131 is an apocalyptic number.

643430404131 is a deficient number, since it is larger than the sum of its proper divisors (235911729525).

643430404131 is a wasteful number, since it uses less digits than its factorization.

643430404131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127588902 (or 127588861 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 643430404131 its reverse (131404034346), we get a palindrome (774834438477).

The spelling of 643430404131 in words is "six hundred forty-three billion, four hundred thirty million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 3 41 123 1681 5043 127588817 382766451 5231141497 15693424491 214476801377 643430404131