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200042320424100 = 223527118659840711
BaseRepresentation
bin101101011110111111111011…
…011100101110110010100100
3222020021212012020222100112020
4231132333323130232302210
5202204443133012032400
61545242101235023140
760064403120063250
oct5536777334566244
9866255166870466
10200042320424100
1158815520872360
121a52966043aab0
138780ba9cb7a4b
143758158459260
15181d85e62e2a0
hexb5effb72eca4

200042320424100 has 144 divisors (see below), whose sum is σ = 721607206849536. Its totient is φ = 41567235408000.

The previous prime is 200042320424083. The next prime is 200042320424113. The reversal of 200042320424100 is 1424023240002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4329897256 + ... + 4329943455.

Almost surely, 2200042320424100 is an apocalyptic number.

200042320424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200042320424100 is an abundant number, since it is smaller than the sum of its proper divisors (521564886425436).

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

200042320424100 is a wasteful number, since it uses less digits than its factorization.

200042320424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659840746 (or 8659840739 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 200042320424100 its reverse (1424023240002), we get a palindrome (201466343664102).

The spelling of 200042320424100 in words is "two hundred trillion, forty-two billion, three hundred twenty million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 8659840711 17319681422 25979522133 34639362844 43299203555 51959044266 60618884977 86598407110 95258247821 103918088532 121237769954 129897610665 173196814220 181856654931 190516495642 216496017775 242475539908 259795221330 285774743463 303094424885 363713309862 381032991284 432992035550 476291239105 519590442660 571549486926 606188849770 649488053325 666807734747 727426619724 865984071100 909283274655 952582478210 1143098973852 1212377699540 1298976106650 1333615469494 1428873717315 1515472124425 1818566549310 1905164956420 2000423204241 2381456195525 2597952213300 2667230938988 2857747434630 3030944248850 3334038673735 3637133098620 4000846408482 4546416373275 4762912391050 5715494869260 6061888497700 6668077347470 7144368586575 8001692816964 9092832746550 9525824782100 10002116021205 13336154694940 14288737173150 16670193368675 18185665493100 20004232042410 28577474346300 33340386737350 40008464084820 50010580106025 66680773474700 100021160212050 200042320424100