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422112044003100 = 2235211423493020443
BaseRepresentation
bin101111111111010001001111…
…0011100000010111100011100
32001100120111222010010120021020
41133332202132130002330130
5420311340431231044400
64053431332422004140
7154624405644534423
oct13776423634027434
92040514863116236
10422112044003100
11112552792446390
123b414185576650
131516bcc1ba5a29
147634490baa2ba
1533c01827402a0
hex17fe89e702f1c

422112044003100 has 144 divisors (see below), whose sum is σ = 1332371008214400. Its totient is φ = 102327742252800.

The previous prime is 422112044003093. The next prime is 422112044003161. The reversal of 422112044003100 is 1300440211224.

It is a super-2 number, since 2×4221120440031002 (a number of 30 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 47 ways as a sum of consecutive naturals, for example, 138241479 + ... + 141261921.

Almost surely, 2422112044003100 is an apocalyptic number.

It is an amenable number.

422112044003100 is an abundant number, since it is smaller than the sum of its proper divisors (910258964211300).

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

422112044003100 is a wasteful number, since it uses less digits than its factorization.

422112044003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062820 (or 3062813 counting only the distinct ones).

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

Adding to 422112044003100 its reverse (1300440211224), we get a palindrome (423412484214324).

The spelling of 422112044003100 in words is "four hundred twenty-two trillion, one hundred twelve billion, forty-four million, three 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 42349 84698 127047 169396 211745 254094 423490 465839 508188 635235 846980 931678 1058725 1270470 1397517 1863356 2117450 2329195 2540940 2795034 3020443 3176175 4234900 4658390 5590068 6040886 6352350 6987585 9061329 9316780 11645975 12081772 12704700 13975170 15102215 18122658 23291950 27950340 30204430 33224873 34937925 36245316 45306645 46583900 60408860 66449746 69875850 75511075 90613290 99674619 132899492 139751700 151022150 166124365 181226580 199349238 226533225 302044300 332248730 398698476 453066450 498373095 664497460 830621825 906132900 996746190 1661243650 1993492380 2491865475 3322487300 4983730950 9967461900 127912740607 255825481214 383738221821 511650962428 639563703035 767476443642 1279127406070 1407040146677 1534952887284 1918691109105 2558254812140 2814080293354 3197818515175 3837382218210 4221120440031 5628160586708 6395637030350 7035200733385 7674764436420 8442240880062 9593455545525 12791274060700 14070401466770 16884481760124 19186911091050 21105602200155 28140802933540 35176003666925 38373822182100 42211204400310 70352007333850 84422408800620 105528011000775 140704014667700 211056022001550 422112044003100