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422332400000100 = 223522973336619931
BaseRepresentation
bin110000000000110111110110…
…0101011011101110001100100
32001101100120202002211001002110
41200001233230223131301210
5420323443223400000400
64054120454235441020
7154646336402600442
oct14001575453356144
92041316662731073
10422332400000100
1111262818a6873a7
123b44aa222b6170
1315186a0b575535
147640dd6561b92
1533c5c7cd00e50
hex1801becaddc64

422332400000100 has 144 divisors (see below), whose sum is σ = 1264257136739520. Its totient is φ = 108723611942400.

The previous prime is 422332400000087. The next prime is 422332400000311. The reversal of 422332400000100 is 1000004233224.

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, 60487135 + ... + 67107065.

It is an arithmetic number, because the mean of its divisors is an integer number (8779563449580).

Almost surely, 2422332400000100 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 422332400000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632128568369760).

422332400000100 is an abundant number, since it is smaller than the sum of its proper divisors (841924736739420).

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

422332400000100 is a wasteful number, since it uses less digits than its factorization.

422332400000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6627310 (or 6627303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 422332400000100 its reverse (1000004233224), we get a palindrome (423332404233324).

The spelling of 422332400000100 in words is "four hundred twenty-two trillion, three hundred thirty-two billion, four hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 7333 8700 14666 21999 29332 36665 43998 73330 87996 109995 146660 183325 212657 219990 366650 425314 439980 549975 637971 733300 850628 1063285 1099950 1275942 2126570 2199900 2551884 3189855 4253140 5316425 6379710 6619931 10632850 12759420 13239862 15949275 19859793 21265700 26479724 31898550 33099655 39719586 63797100 66199310 79439172 99298965 132398620 165498275 191977999 198597930 330996550 383955998 397195860 496494825 575933997 661993100 767911996 959889995 992989650 1151867994 1919779990 1985979300 2303735988 2879669985 3839559980 4799449975 5759339970 9598899950 11518679940 14398349925 19197799900 28796699850 48543954023 57593399700 97087908046 145631862069 194175816092 242719770115 291263724138 485439540230 582527448276 728159310345 970879080460 1213598850575 1407774666667 1456318620690 2427197701150 2815549333334 2912637241380 3640796551725 4223324000001 4854395402300 5631098666668 7038873333335 7281593103450 8446648000002 14077746666670 14563186206900 16893296000004 21116620000005 28155493333340 35194366666675 42233240000010 70388733333350 84466480000020 105583100000025 140777466666700 211166200000050 422332400000100