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20341120241034 = 23329163179445187
BaseRepresentation
bin1001010000000000010010…
…01111110000110110001010
32200000120222122101012201000
410220000021033300312022
510131232103240203114
6111132325344435430
74166411631153015
oct450001117606612
980016878335630
1020341120241034
1165326910a200a
1223462b4018b76
13b4720c2b18c8
1450473065837c
152541bc55ee09
hex1280093f0d8a

20341120241034 has 128 divisors (see below), whose sum is σ = 47311019136000. Its totient is φ = 6470041281984.

The previous prime is 20341120241027. The next prime is 20341120241047. The reversal of 20341120241034 is 43014202114302.

20341120241034 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 11 + 202 + 410 + 34 = 666.

It is a super-2 number, since 2×203411202410342 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20341120240989 and 20341120241007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45468589 + ... + 45913775.

It is an arithmetic number, because the mean of its divisors is an integer number (369617337000).

Almost surely, 220341120241034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20341120241034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23655509568000).

20341120241034 is an abundant number, since it is smaller than the sum of its proper divisors (26969898894966).

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

20341120241034 is a wasteful number, since it uses less digits than its factorization.

20341120241034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445569 (or 445563 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20341120241034 its reverse (43014202114302), we get a palindrome (63355322355336).

The spelling of 20341120241034 in words is "twenty trillion, three hundred forty-one billion, one hundred twenty million, two hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 163 174 179 261 326 358 489 522 537 783 978 1074 1467 1566 1611 2934 3222 4401 4727 4833 5191 8802 9454 9666 10382 14181 15573 28362 29177 31146 42543 46719 58354 85086 87531 93438 127629 140157 175062 255258 262593 280314 445187 525186 787779 846133 890374 1335561 1575558 1692266 2538399 2671122 4006683 5076798 7615197 8013366 12020049 12910423 15230394 22845591 24040098 25820846 38731269 45691182 72565481 77462538 79688473 116193807 145130962 159376946 217696443 232387614 239065419 348581421 435392886 478130838 653089329 697162842 717196257 1306178658 1434392514 1959267987 2104398949 2151588771 2310965717 3918535974 4208797898 4303177542 4621931434 6313196847 6932897151 12626393694 12989221099 13865794302 18939590541 20798691453 25978442198 37879181082 38967663297 41597382906 56818771623 62396074359 77935326594 113637543246 116902989891 124792148718 233805979782 350708969673 376687411871 701417939346 753374823742 1130062235613 2260124471226 3390186706839 6780373413678 10170560120517 20341120241034