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312132104120342 = 211196612243503653
BaseRepresentation
bin100011011111000011110101…
…1001100000110100000010110
31111221011112112000020022202102
41012332013223030012200112
5311402433022123322332
63023503301544042102
7122513541342134432
oct10676075314064026
91457145460208672
10312132104120342
1190500533566190
122b011362163332
1310521c1489a63c
1457113bb11d9c2
1526144141c1062
hex11be1eb306816

312132104120342 has 64 divisors (see below), whose sum is σ = 538698325904640. Its totient is φ = 134147508739200.

The previous prime is 312132104120327. The next prime is 312132104120351. The reversal of 312132104120342 is 243021401231213.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619484588 + ... + 619988240.

It is an arithmetic number, because the mean of its divisors is an integer number (8417161342260).

Almost surely, 2312132104120342 is an apocalyptic number.

312132104120342 is a deficient number, since it is larger than the sum of its proper divisors (226566221784298).

312132104120342 is a wasteful number, since it uses less digits than its factorization.

312132104120342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506589.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 312132104120342 its reverse (243021401231213), we get a palindrome (555153505351555).

The spelling of 312132104120342 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred four million, one hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 11 19 22 38 209 418 661 1322 2243 4486 7271 12559 14542 24673 25118 42617 49346 85234 138149 276298 468787 503653 937574 1007306 1482623 2965246 5540183 9569407 11080366 16308853 19138814 28169837 32617706 56339674 105263477 210526954 309868207 332914633 619736414 665829266 1129693679 2259387358 3662060963 6325378027 7324121926 12426630469 12650756054 21464179901 24853260938 42928359802 69579158297 139158316594 236105978911 472211957822 746727521819 1493455043638 8214002740009 14187822914561 16428005480018 28375645829122 156066052060171 312132104120342