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343023023021100 = 223521989676173907
BaseRepresentation
bin100110111111110100100010…
…1011011111101110000101100
31122222112200101021000112012220
41031333221011123331300230
5324430042122343133400
63213314333515155340
7132152411166331332
oct11577510533756054
91588480337015186
10343023023021100
119a3302799a3834
12325801b0445b50
1311952c1728bb86
14609c58d7a9b52
15299cc3912a7a0
hex137fa456fdc2c

343023023021100 has 144 divisors (see below), whose sum is σ = 1056454113859200. Its totient is φ = 85684757368320.

The previous prime is 343023023021057. The next prime is 343023023021113. The reversal of 343023023021100 is 1120320320343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337579654 + ... + 338594253.

It is an arithmetic number, because the mean of its divisors is an integer number (7336486901800).

Almost surely, 2343023023021100 is an apocalyptic number.

343023023021100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343023023021100 is an abundant number, since it is smaller than the sum of its proper divisors (713431090838100).

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

343023023021100 is a wasteful number, since it uses less digits than its factorization.

343023023021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676174032 (or 676174025 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 343023023021100 its reverse (1120320320343), we get a palindrome (344143343341443).

The spelling of 343023023021100 in words is "three hundred forty-three trillion, twenty-three billion, twenty-three million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 89 95 100 114 150 178 190 228 267 285 300 356 380 445 475 534 570 890 950 1068 1140 1335 1425 1691 1780 1900 2225 2670 2850 3382 4450 5073 5340 5700 6675 6764 8455 8900 10146 13350 16910 20292 25365 26700 33820 42275 50730 84550 101460 126825 169100 253650 507300 676173907 1352347814 2028521721 2704695628 3380869535 4057043442 6761739070 8114086884 10142608605 12847304233 13523478140 16904347675 20285217210 25694608466 33808695350 38541912699 40570434420 50713043025 51389216932 60179477723 64236521165 67617390700 77083825398 101426086050 120358955446 128473042330 154167650796 180538433169 192709563495 202852172100 240717910892 256946084660 300897388615 321182605825 361076866338 385419126990 601794777230 642365211650 722153732676 770838253980 902692165845 963547817475 1143410076737 1203589554460 1284730423300 1504486943075 1805384331690 1927095634950 2286820153474 3008973886150 3430230230211 3610768663380 3854191269900 4513460829225 4573640306948 5717050383685 6017947772300 6860460460422 9026921658450 11434100767370 13720920920844 17151151151055 18053843316900 22868201534740 28585251918425 34302302302110 57170503836850 68604604604220 85755755755275 114341007673700 171511511510550 343023023021100