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20410422341100 = 223521123117267551
BaseRepresentation
bin1001010010000001010111…
…11110010010110111101100
32200021012212102111122211220
410221000223332102313230
510133401021104403400
6111224230225143340
74204414202246001
oct451005376226754
980235772448756
1020410422341100
11655a014349580
12235781518ab50
13b50904c739cc
14507c266c18a8
15255dc67657a0
hex12902bf92dec

20410422341100 has 144 divisors (see below), whose sum is σ = 64425742488576. Its totient is φ = 4947748640000.

The previous prime is 20410422341093. The next prime is 20410422341123. The reversal of 20410422341100 is 114322401402.

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 47 ways as a sum of consecutive naturals, for example, 76152325 + ... + 76419875.

It is an arithmetic number, because the mean of its divisors is an integer number (447400989504).

Almost surely, 220410422341100 is an apocalyptic number.

20410422341100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20410422341100 is an abundant number, since it is smaller than the sum of its proper divisors (44015320147476).

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

20410422341100 is a wasteful number, since it uses less digits than its factorization.

20410422341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290696 (or 290689 counting only the distinct ones).

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

Adding to 20410422341100 its reverse (114322401402), we get a palindrome (20524744742502).

The spelling of 20410422341100 in words is "twenty trillion, four hundred ten billion, four hundred twenty-two million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 23117 46234 69351 92468 115585 138702 231170 254287 267551 277404 346755 462340 508574 535102 577925 693510 762861 802653 1017148 1070204 1155850 1271435 1337755 1387020 1525722 1605306 1733775 2311700 2542870 2675510 2943061 3051444 3210612 3467550 3814305 4013265 5085740 5351020 5886122 6357175 6688775 6935100 7628610 8026530 8829183 11772244 12714350 13377550 14715305 15257220 16053060 17658366 19071525 20066325 25428700 26755100 29430610 35316732 38143050 40132650 44145915 58861220 73576525 76286100 80265300 88291830 147153050 176583660 220729575 294306100 441459150 882918300 6184976467 12369952934 18554929401 24739905868 30924882335 37109858802 61849764670 68034741137 74219717604 92774647005 123699529340 136069482274 154624411675 185549294010 204104223411 272138964548 309248823350 340173705685 371098588020 408208446822 463873235025 618497646700 680347411370 816416893644 927746470050 1020521117055 1360694822740 1700868528425 1855492940100 2041042234110 3401737056850 4082084468220 5102605585275 6803474113700 10205211170550 20410422341100