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20031133322310 = 23511439175978607
BaseRepresentation
bin1001000110111110111001…
…00101100000110001000110
32121220221212010022010222020
410203133130211200301012
510111142230112303220
6110334101533144010
74135126104630255
oct443373445406106
977827763263866
1020031133322310
116423179605980
1222b620202b006
13b23c0a3c5a46
144d3724dda79c
1524b0c8229040
hex1237dc960c46

20031133322310 has 128 divisors (see below), whose sum is σ = 52595166412800. Its totient is φ = 4842154753920.

The previous prime is 20031133322287. The next prime is 20031133322339. The reversal of 20031133322310 is 1322333113002.

It is a super-2 number, since 2×200311333223102 (a number of 27 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, 254787027 + ... + 254865633.

It is an arithmetic number, because the mean of its divisors is an integer number (410899737600).

Almost surely, 220031133322310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031133322310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26297583206400).

20031133322310 is an abundant number, since it is smaller than the sum of its proper divisors (32564033090490).

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

20031133322310 is a wasteful number, since it uses less digits than its factorization.

20031133322310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80826.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 20031133322310 its reverse (1322333113002), we get a palindrome (21353466435312).

The spelling of 20031133322310 in words is "twenty trillion, thirty-one billion, one hundred thirty-three million, three hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 439 878 1317 1759 2195 2634 3518 4390 4829 5277 6585 8795 9658 10554 13170 14487 17590 19349 24145 26385 28974 38698 48290 52770 58047 72435 78607 96745 116094 144870 157214 193490 235821 290235 393035 471642 580470 772201 786070 864677 1179105 1544402 1729354 2316603 2358210 2594031 3861005 4323385 4633206 5188062 7722010 8494211 8646770 11583015 12970155 16988422 23166030 25482633 25940310 34508473 42471055 50965266 69016946 84942110 103525419 127413165 138269713 172542365 207050838 254826330 276539426 345084730 379593203 414809139 517627095 691348565 759186406 829618278 1035254190 1138779609 1382697130 1520966843 1897966015 2074045695 2277559218 3041933686 3795932030 4148091390 4562900529 5693898045 7604834215 9125801058 11387796090 15209668430 22814502645 45629005290 60700404007 121400808014 182101212021 303502020035 364202424042 607004040070 667704444077 910506060105 1335408888154 1821012120210 2003113332231 3338522220385 4006226664462 6677044440770 10015566661155 20031133322310