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20430212044110 = 23511715749151673
BaseRepresentation
bin1001010010100110001111…
…00010000001010101001110
32200100002221121022201212020
410221103013202001111032
510134212033240402420
6111241302043151010
74206014462041101
oct451230742012516
980302847281766
1020430212044110
11656744a0a2330
12235b618815466
13b52739bca54b
14508b82aa4738
15256683ce1340
hex1294c788154e

20430212044110 has 128 divisors (see below), whose sum is σ = 54253183104000. Its totient is φ = 4882139673600.

The previous prime is 20430212044097. The next prime is 20430212044133. The reversal of 20430212044110 is 1144021203402.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 134623234 + ... + 134774906.

It is an arithmetic number, because the mean of its divisors is an integer number (423852993000).

Almost surely, 220430212044110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430212044110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27126591552000).

20430212044110 is an abundant number, since it is smaller than the sum of its proper divisors (33822971059890).

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

20430212044110 is a wasteful number, since it uses less digits than its factorization.

20430212044110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157514.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20430212044110 its reverse (1144021203402), we get a palindrome (21574233247512).

The spelling of 20430212044110 in words is "twenty trillion, four hundred thirty billion, two hundred twelve million, forty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1562 2130 2343 3905 4686 5749 7810 11498 11715 17247 23430 28745 34494 57490 63239 86235 126478 151673 172470 189717 303346 316195 379434 408179 455019 632390 758365 816358 910038 948585 1224537 1516730 1668403 1897170 2040895 2275095 2449074 3336806 4081790 4489969 4550190 5005209 6122685 8342015 8979938 10010418 10768783 12245370 13469907 16684030 21537566 22449845 25026045 26939814 32306349 44899690 50052090 53843915 64612698 67349535 107687830 118456613 134699070 161531745 236913226 323063490 355369839 592283065 710739678 871968077 1184566130 1743936154 1776849195 2615904231 3553698390 4359840385 5231808462 8719680770 9591648847 13079521155 19183297694 26159042310 28774946541 47958244235 57549893082 61909733467 95916488470 123819466934 143874732705 185729200401 287749465410 309548667335 371458400802 619097334670 681007068137 928646002005 1362014136274 1857292004010 2043021204411 3405035340685 4086042408822 6810070681370 10215106022055 20430212044110