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10000330024321 = 71317531792392851
BaseRepresentation
bin1001000110000110001000…
…0111100110010110000001
31022102000121012020020002101
42101201202013212112001
52302321133441234241
633134031014350401
72051333333453320
oct221414207462601
938360535206071
1010000330024321
11320613065519a
12115616a35b401
135770476393a0
14268038cba0b7
151251e8dd2e31
hex918621e6581

10000330024321 has 128 divisors (see below), whose sum is σ = 13412741529600. Its totient is φ = 7232653209600.

The previous prime is 10000330024309. The next prime is 10000330024337. The reversal of 10000330024321 is 12342003300001.

It is a de Polignac number, because none of the positive numbers 2k-10000330024321 is a prime.

It is a super-2 number, since 2×100003300243212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000330024351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3507655546 + ... + 3507658396.

It is an arithmetic number, because the mean of its divisors is an integer number (104787043200).

Almost surely, 210000330024321 is an apocalyptic number.

It is an amenable number.

10000330024321 is a deficient number, since it is larger than the sum of its proper divisors (3412411505279).

10000330024321 is a wasteful number, since it uses less digits than its factorization.

10000330024321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10000330024321 its reverse (12342003300001), we get a palindrome (22342333324322).

The spelling of 10000330024321 in words is "ten trillion, three hundred thirty million, twenty-four thousand, three hundred twenty-one".

Divisors: 1 7 13 17 53 91 119 179 221 239 371 689 901 1253 1547 1673 2327 2851 3043 3107 4063 4823 6307 9487 11713 12667 16289 19957 21301 21749 28441 37063 39559 42781 48467 52819 66409 81991 88669 123331 151103 161279 164671 215339 259441 276913 299467 339269 369733 510329 556153 630071 681389 727277 863317 1057721 1128953 1152697 1507373 1964339 2096627 2267393 2568751 2799407 3572303 3893071 4410497 4769723 5090939 6634277 8675593 8858057 9454601 11583613 13750373 14676389 15871751 17981257 19595849 27047437 29476109 33393763 36113617 38545681 46439939 60729151 62006399 66182207 81085291 112782709 121968631 150586969 189332059 206332763 233756341 252795319 269819767 351616681 459806429 469477021 501093853 613931489 789478963 853780417 1054108783 1585592203 2073466727 2461316767 3218645003 3286339147 3507656971 4297520423 5977483577 6464337443 7981109357 11099145421 14514267089 26955067451 41842385039 45250362101 55867765499 84036386759 109893736531 188685472157 588254707313 769256155717 1428618574903 10000330024321