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20430340002 = 23217210133877
BaseRepresentation
bin10011000001101111…
…100011111110100010
31221201211021210202100
4103001233203332202
5313320131340002
613215141031230
71322166011322
oct230157437642
957654253670
1020430340002
118734437916
123b620b5516
131c078acba7
14dbb507282
157e892411c
hex4c1be3fa2

20430340002 has 72 divisors (see below), whose sum is σ = 47081332116. Its totient is φ = 6401539584.

The previous prime is 20430340001. The next prime is 20430340003. The reversal of 20430340002 is 20004303402.

It is an interprime number because it is at equal distance from previous prime (20430340001) and next prime (20430340003).

It can be written as a sum of positive squares in 6 ways, for example, as 6171830721 + 14258509281 = 78561^2 + 119409^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20430340001) 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 35 ways as a sum of consecutive naturals, for example, 5267688 + ... + 5271564.

Almost surely, 220430340002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430340002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23540666058).

20430340002 is an abundant number, since it is smaller than the sum of its proper divisors (26650992114).

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

20430340002 is a wasteful number, since it uses less digits than its factorization.

20430340002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20430340002 its reverse (20004303402), we get a palindrome (40434643404).

The spelling of 20430340002 in words is "twenty billion, four hundred thirty million, three hundred forty thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1013 1734 2026 2601 3039 3877 5202 6078 7754 9117 11631 17221 18234 23262 34442 34893 51663 65909 69786 103326 131818 154989 197727 292757 309978 395454 585514 593181 878271 1120453 1186362 1756542 2240906 2634813 3361359 3927401 5269626 6722718 7854802 10084077 11782203 20168154 23564406 35346609 66765817 70693218 133531634 200297451 400594902 600892353 1135018889 1201784706 2270037778 3405056667 6810113334 10215170001 20430340002