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20434130343 = 32114131715881
BaseRepresentation
bin10011000001111110…
…000001010110100111
31221202002102101010100
4103001332001112213
5313322114132333
613215354155143
71322243146014
oct230176012647
957662371110
1020434130343
118736596630
123b63422ab3
131c086091b3
14dbbc1270b
157e8e22213
hex4c1f815a7

20434130343 has 48 divisors (see below), whose sum is σ = 33090718752. Its totient is φ = 12043392000.

The previous prime is 20434130333. The next prime is 20434130399. The reversal of 20434130343 is 34303143402.

20434130343 is a `hidden beast` number, since 204 + 3 + 413 + 0 + 3 + 43 = 666.

It is not a de Polignac number, because 20434130343 - 221 = 20432033191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434130333) 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 47 ways as a sum of consecutive naturals, for example, 1278763 + ... + 1294643.

It is an arithmetic number, because the mean of its divisors is an integer number (689389974).

Almost surely, 220434130343 is an apocalyptic number.

20434130343 is a deficient number, since it is larger than the sum of its proper divisors (12656588409).

20434130343 is a wasteful number, since it uses less digits than its factorization.

20434130343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16256 (or 16253 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20434130343 its reverse (34303143402), we get a palindrome (54737273745).

The spelling of 20434130343 in words is "twenty billion, four hundred thirty-four million, one hundred thirty thousand, three hundred forty-three".

Divisors: 1 3 9 11 33 41 99 123 317 369 451 951 1353 2853 3487 4059 10461 12997 15881 31383 38991 47643 116973 142929 142967 174691 428901 524073 651121 1286703 1572219 1953363 5034277 5860089 7162331 15102831 21486993 45308493 55377047 64460979 166131141 206405357 498393423 619216071 1857648213 2270458927 6811376781 20434130343