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422050530300100 = 225213737016344249
BaseRepresentation
bin101111111110110100100101…
…1111011111001000011000100
32001100100122012010020200100221
41133331221023323321003010
5420304333441224100400
64053343200441514124
7154620100404640432
oct13775511373710304
92040318163220327
10422050530300100
11112529696579909
123b4042787a2944
131516626a9693c0
1476314d7287d52
1533bd782187c1a
hex17fda4bef90c4

422050530300100 has 144 divisors (see below), whose sum is σ = 1001236998762000. Its totient is φ = 153480047616000.

The previous prime is 422050530300089. The next prime is 422050530300109. The reversal of 422050530300100 is 1003035050224.

It can be written as a sum of positive squares in 24 ways, for example, as 140671175598144 + 281379354701956 = 11860488^2 + 16774366^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (422050530300109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63352776 + ... + 69697024.

It is an arithmetic number, because the mean of its divisors is an integer number (6953034713625).

Almost surely, 2422050530300100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422050530300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500618499381000).

422050530300100 is an abundant number, since it is smaller than the sum of its proper divisors (579186468461900).

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

422050530300100 is a wasteful number, since it uses less digits than its factorization.

422050530300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345050 (or 6345043 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 422050530300100 its reverse (1003035050224), we get a palindrome (423053565350324).

The spelling of 422050530300100 in words is "four hundred twenty-two trillion, fifty billion, five hundred thirty million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 73 100 130 146 260 292 325 365 650 701 730 949 1300 1402 1460 1825 1898 2804 3505 3650 3796 4745 7010 7300 9113 9490 14020 17525 18226 18980 23725 35050 36452 45565 47450 51173 70100 91130 94900 102346 182260 204692 227825 255865 455650 511730 665249 911300 1023460 1279325 1330498 2558650 2660996 3326245 5117300 6344249 6652490 12688498 13304980 16631225 25376996 31721245 33262450 63442490 66524900 82475237 126884980 158606225 164950474 317212450 329900948 412376185 463130177 634424900 824752370 926260354 1649504740 1852520708 2061880925 2315650885 4123761850 4447318549 4631301770 6020692301 8247523700 8894637098 9262603540 11578254425 12041384602 17789274196 22236592745 23156508850 24082769204 30103461505 44473185490 46313017700 57815141137 60206923010 88946370980 111182963725 115630282274 120413846020 150517307525 222365927450 231260564548 289075705685 301034615050 324654254077 444731854900 578151411370 602069230100 649308508154 1156302822740 1298617016308 1445378528425 1623271270385 2890757056850 3246542540770 4220505303001 5781514113700 6493085081540 8116356351925 8441010606002 16232712703850 16882021212004 21102526515005 32465425407700 42205053030010 84410106060020 105512632575025 211025265150050 422050530300100