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212433342001104 = 24377115756718587
BaseRepresentation
bin110000010011010011111101…
…111000110110111111010000
31000212011102120212010200101110
4300103103331320312333100
5210321001441023013404
62031450310254333320
762513542151503410
oct6023237570667720
91025142525120343
10212433342001104
1161762524485464
121b9ab0084ba240
13916c4bbb7b823
143a65b85a00640
151985d2aaceb89
hexc134fde36fd0

212433342001104 has 160 divisors (see below), whose sum is σ = 640068811831296. Its totient is φ = 59459228075520.

The previous prime is 212433342001081. The next prime is 212433342001121. The reversal of 212433342001104 is 401100243334212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24613902 + ... + 32104685.

Almost surely, 2212433342001104 is an apocalyptic number.

212433342001104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212433342001104 is an abundant number, since it is smaller than the sum of its proper divisors (427635469830192).

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

212433342001104 is a wasteful number, since it uses less digits than its factorization.

212433342001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56718833 (or 56718827 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 212433342001104 its reverse (401100243334212), we get a palindrome (613533585335316).

The spelling of 212433342001104 in words is "two hundred twelve trillion, four hundred thirty-three billion, three hundred forty-two million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 157 168 213 284 314 336 426 471 497 568 628 852 942 994 1099 1136 1256 1491 1704 1884 1988 2198 2512 2982 3297 3408 3768 3976 4396 5964 6594 7536 7952 8792 11147 11928 13188 17584 22294 23856 26376 33441 44588 52752 66882 78029 89176 133764 156058 178352 234087 267528 312116 468174 535056 624232 936348 1248464 1872696 3745392 56718587 113437174 170155761 226874348 340311522 397030109 453748696 680623044 794060218 907497392 1191090327 1361246088 1588120436 2382180654 2722492176 3176240872 4027019677 4764361308 6352481744 8054039354 8904818159 9528722616 12081059031 16108078708 17809636318 19057445232 24162118062 26714454477 28189137739 32216157416 35619272636 48324236124 53428908954 56378275478 62333727113 64432314832 71238545272 84567413217 96648472248 106857817908 112756550956 124667454226 142477090544 169134826434 187001181339 193296944496 213715635816 225513101912 249334908452 338269652868 374002362678 427431271632 451026203824 498669816904 632242089289 676539305736 748004725356 997339633808 1264484178578 1353078611472 1496009450712 1896726267867 2528968357156 2992018901424 3793452535734 4425694625023 5057936714312 7586905071468 8851389250046 10115873428624 13277083875069 15173810142936 17702778500092 26554167750138 30347620285872 35405557000184 53108335500276 70811114000368 106216671000552 212433342001104