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203103626660406 = 233193740071335209
BaseRepresentation
bin101110001011100010111111…
…100001010000101000110110
3222122010111221221202010002000
4232023202333201100220312
5203110122211411113111
61555544303520000130
760531516130541223
oct5613427741205066
9878114857663060
10203103626660406
115979584539282a
121a942a15760046
138943788a84504
1438223a74aa94a
1518732d10e8c56
hexb8b8bf850a36

203103626660406 has 128 divisors (see below), whose sum is σ = 488058777216000. Its totient is φ = 62388907644672.

The previous prime is 203103626660383. The next prime is 203103626660411. The reversal of 203103626660406 is 604066626301302.

203103626660406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151446130 + ... + 152781338.

It is an arithmetic number, because the mean of its divisors is an integer number (3812959197000).

Almost surely, 2203103626660406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203103626660406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244029388608000).

203103626660406 is an abundant number, since it is smaller than the sum of its proper divisors (284955150555594).

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

203103626660406 is a wasteful number, since it uses less digits than its factorization.

203103626660406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339283 (or 1339277 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 203103626660406 in words is "two hundred three trillion, one hundred three billion, six hundred twenty-six million, six hundred sixty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 333 342 513 666 703 999 1026 1406 1998 2109 4007 4218 6327 8014 12021 12654 18981 24042 36063 37962 72126 76133 108189 148259 152266 216378 228399 296518 444777 456798 685197 889554 1334331 1335209 1370394 2055591 2668662 2670418 2816921 4002993 4005627 4111182 5633842 8005986 8011254 8450763 12016881 16901526 24033762 25352289 25368971 36050643 49402733 50704578 50737942 72101286 76056867 76106913 98805466 148208199 152113734 152213826 228320739 296416398 444624597 456641478 684962217 889249194 938651927 1333873791 1369924434 1877303854 2667747582 2815955781 5350182463 5631911562 8447867343 10700364926 16050547389 16895734686 25343602029 32101094778 48151642167 50687204058 96303284334 101653466797 144454926501 197956751131 203306933594 288909853002 304960400391 395913502262 593870253393 609920800782 914881201173 1187740506786 1781610760179 1829762402346 2744643603519 3563221520358 3761178271489 5344832280537 5489287207038 7522356542978 10689664561074 11283534814467 22567069628934 33850604443401 67701208886802 101551813330203 203103626660406