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20424031103310 = 23531372633225427
BaseRepresentation
bin1001010010011010101110…
…00111100110100101001110
32200022111222211210102001220
410221031113013212211032
510134111403430301220
6111234400444144210
74205405346645402
oct451152707464516
980274884712056
1020424031103310
116564868116a9a
12235a392838066
13b51c934bb623
14508757c35102
15256421366540
hex1293571e694e

20424031103310 has 128 divisors (see below), whose sum is σ = 51986394722304. Its totient is φ = 5126295444480.

The previous prime is 20424031103249. The next prime is 20424031103363. The reversal of 20424031103310 is 1330113042402.

It is a happy number.

It is a super-2 number, since 2×204240311033102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90488817 + ... + 90714243.

It is an arithmetic number, because the mean of its divisors is an integer number (406143708768).

Almost surely, 220424031103310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20424031103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25993197361152).

20424031103310 is an abundant number, since it is smaller than the sum of its proper divisors (31562363618994).

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

20424031103310 is a wasteful number, since it uses less digits than its factorization.

20424031103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228138.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20424031103310 its reverse (1330113042402), we get a palindrome (21754144145712).

The spelling of 20424031103310 in words is "twenty trillion, four hundred twenty-four billion, thirty-one million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 930 1110 1147 2294 2633 3441 5266 5735 6882 7899 11470 13165 15798 17205 26330 34410 39495 78990 81623 97421 163246 194842 225427 244869 292263 408115 450854 487105 489738 584526 676281 816230 974210 1127135 1224345 1352562 1461315 2254270 2448690 2922630 3020051 3381405 6040102 6762810 6988237 8340799 9060153 13976474 15100255 16681598 18120306 20964711 25022397 30200510 34941185 41703995 41929422 45300765 50044794 69882370 83407990 90601530 104823555 125111985 209647110 250223970 258564769 517129538 593549291 775694307 1187098582 1292823845 1551388614 1780647873 2585647690 2967746455 3561295746 3878471535 5935492910 7756943070 8903239365 17806478730 18400028021 21961323767 36800056042 43922647534 55200084063 65883971301 92000140105 109806618835 110400168126 131767942602 184000280210 219613237670 276000420315 329419856505 552000840630 658839713010 680801036777 1361602073554 2042403110331 3404005183885 4084806220662 6808010367770 10212015551655 20424031103310