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20430211343311 = 7311131283146059
BaseRepresentation
bin1001010010100110001110…
…11111010110001111001111
32200100002221120000010112201
410221103013133112033033
510134212033100441221
6111241302020142331
74206014453062000
oct451230737261717
980302846003481
1020430211343311
116567449763860
12235b6185379a7
13b52739a13583
14508b829611a7
15256683c03891
hex1294c77d63cf

20430211343311 has 64 divisors (see below), whose sum is σ = 26282386944000. Its totient is φ = 15742189663200.

The previous prime is 20430211343261. The next prime is 20430211343327. The reversal of 20430211343311 is 11334311203402.

It is not a de Polignac number, because 20430211343311 - 27 = 20430211343183 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20430211343311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430211343111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139803400 + ... + 139949458.

It is an arithmetic number, because the mean of its divisors is an integer number (410662296000).

Almost surely, 220430211343311 is an apocalyptic number.

20430211343311 is a deficient number, since it is larger than the sum of its proper divisors (5852175600689).

20430211343311 is a wasteful number, since it uses less digits than its factorization.

20430211343311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146505 (or 146491 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 20430211343311 its reverse (11334311203402), we get a palindrome (31764522546713).

The spelling of 20430211343311 in words is "twenty trillion, four hundred thirty billion, two hundred eleven million, three hundred forty-three thousand, three hundred eleven".

Divisors: 1 7 11 49 77 131 283 343 539 917 1441 1981 3113 3773 6419 10087 13867 21791 37073 44933 70609 97069 146059 152537 259511 407803 494263 1022413 1067759 1606649 1816577 2854621 7156891 11246543 12716039 19133729 19982347 41334697 50098237 78725801 133936103 139876429 210471019 289342879 454681667 551080607 937552721 1473297133 2025400153 3182771669 5414845307 6562869047 10313079931 14177801071 22279401683 37903917149 59563298377 72191559517 155955811781 265327420043 416943088639 1857291940301 2918601620473 20430211343311