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20434440130 = 2513179246353
BaseRepresentation
bin10011000001111111…
…001100111111000010
31221202010000010001221
4103001333030333002
5313322204041010
613215404545254
71322245606126
oct230177147702
957663003057
1020434440130
118736788355
123b6355222a
131c086b71c0
14dbbc93586
157e8e83dda
hex4c1fccfc2

20434440130 has 32 divisors (see below), whose sum is σ = 41941461744. Its totient is φ = 7101198336.

The previous prime is 20434440119. The next prime is 20434440149. The reversal of 20434440130 is 3104443402.

It can be written as a sum of positive squares in 8 ways, for example, as 12744377881 + 7690062249 = 112891^2 + 87693^2 .

It is a super-3 number, since 3×204344401303 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20434440095 and 20434440104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4620967 + ... + 4625386.

Almost surely, 220434440130 is an apocalyptic number.

20434440130 is an abundant number, since it is smaller than the sum of its proper divisors (21507021614).

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

20434440130 is a wasteful number, since it uses less digits than its factorization.

20434440130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246390.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 20434440130 its reverse (3104443402), we get a palindrome (23538883532).

The spelling of 20434440130 in words is "twenty billion, four hundred thirty-four million, four hundred forty thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 9246353 18492706 46231765 92463530 120202589 157188001 240405178 314376002 601012945 785940005 1202025890 1571880010 2043444013 4086888026 10217220065 20434440130