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20430434310 = 235111316728517
BaseRepresentation
bin10011000001101111…
…111011000000000110
31221201211110121010020
4103001233323000012
5313320142344220
613215143040010
71322166553266
oct230157730006
957654417106
1020430434310
1187344a1760
123b62140006
131c07913ab0
14dbb52d7a6
157e8942040
hex4c1bfb006

20430434310 has 128 divisors (see below), whose sum is σ = 57952226304. Its totient is φ = 4544309760.

The previous prime is 20430434303. The next prime is 20430434359. The reversal of 20430434310 is 1343403402.

It is a super-2 number, since 2×204304343102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 702172 + ... + 730688.

It is an arithmetic number, because the mean of its divisors is an integer number (452751768).

Almost surely, 220430434310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430434310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28976113152).

20430434310 is an abundant number, since it is smaller than the sum of its proper divisors (37521791994).

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

20430434310 is a wasteful number, since it uses less digits than its factorization.

20430434310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28718.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20430434310 its reverse (1343403402), we get a palindrome (21773837712).

The spelling of 20430434310 in words is "twenty billion, four hundred thirty million, four hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 167 195 286 330 334 390 429 501 715 835 858 1002 1430 1670 1837 2145 2171 2505 3674 4290 4342 5010 5511 6513 9185 10855 11022 13026 18370 21710 23881 27555 28517 32565 47762 55110 57034 65130 71643 85551 119405 142585 143286 171102 238810 285170 313687 358215 370721 427755 627374 716430 741442 855510 941061 1112163 1568435 1853605 1882122 2224326 3136870 3707210 4077931 4705305 4762339 5560815 8155862 9410610 9524678 11121630 12233793 14287017 20389655 23811695 24467586 28574034 40779310 47623390 52385729 61168965 61910407 71435085 104771458 122337930 123820814 142870170 157157187 185731221 261928645 309552035 314314374 371462442 523857290 619104070 681014477 785785935 928656105 1362028954 1571571870 1857312210 2043043431 3405072385 4086086862 6810144770 10215217155 20430434310