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330102414140100 = 223527295420400889
BaseRepresentation
bin100101100001110011111010…
…1001000100110001011000100
31121021210111000210220201020020
41023003213311020212023010
5321231344221004440400
63130022542221535140
7126350053360043160
oct11303476510461304
91537714023821206
10330102414140100
11961a9714036888
12310340867144b0
13112266a7550564
145b73083703ca0
152826ac478d2a0
hex12c39f52262c4

330102414140100 has 144 divisors (see below), whose sum is σ = 1129177913404800. Its totient is φ = 72850187934720.

The previous prime is 330102414139943. The next prime is 330102414140137. The reversal of 330102414140100 is 1041414201033.

It is a super-2 number, since 2×3301024141401002 (a number of 30 digits) contains 22 as substring.

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, 2710139545 + ... + 2710261344.

Almost surely, 2330102414140100 is an apocalyptic number.

330102414140100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330102414140100 is an abundant number, since it is smaller than the sum of its proper divisors (799075499264700).

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

330102414140100 is a wasteful number, since it uses less digits than its factorization.

330102414140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420400942 (or 5420400935 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 330102414140100 its reverse (1041414201033), we get a palindrome (331143828341133).

The spelling of 330102414140100 in words is "three hundred thirty trillion, one hundred two billion, four hundred fourteen million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1218 1450 1740 2030 2100 2175 2436 2900 3045 4060 4350 5075 6090 8700 10150 12180 15225 20300 30450 60900 5420400889 10840801778 16261202667 21681603556 27102004445 32522405334 37942806223 54204008890 65044810668 75885612446 81306013335 108408017780 113828418669 135510022225 151771224892 157191625781 162612026670 189714031115 227656837338 271020044450 314383251562 325224053340 379428062230 406530066675 455313674676 471574877343 542040088900 569142093345 628766503124 758856124460 785958128905 813060133350 943149754686 948570155575 1100341380467 1138284186690 1571916257810 1626120266700 1886299509372 1897140311150 2200682760934 2276568373380 2357874386715 2845710466725 3143832515620 3301024141401 3794280622300 3929790644525 4401365521868 4715748773430 5501706902335 5691420933450 6602048282802 7859581289050 9431497546860 11003413804670 11382841866900 11789371933575 13204096565604 15719162578100 16505120707005 22006827609340 23578743867150 27508534511675 33010241414010 47157487734300 55017069023350 66020482828020 82525603535025 110034138046700 165051207070050 330102414140100