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32123206116105 = 35131037197972791
BaseRepresentation
bin1110100110111010001000…
…10010100010001100001001
311012201221121110120210102120
413103131010102202030021
513202301311231203410
6152153110330521453
76523552664532036
oct723350422421411
9135657543523376
1032123206116105
11a265414447495
123729838896289
1314c028918b2b0
147d0ab2cc038d
153aa8e9467570
hex1d37444a2309

32123206116105 has 128 divisors (see below), whose sum is σ = 56056169594880. Its totient is φ = 15613962071040.

The previous prime is 32123206116061. The next prime is 32123206116151. The reversal of 32123206116105 is 50161160232123.

It is not a de Polignac number, because 32123206116105 - 233 = 32114616181513 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11509567260 + ... + 11509570050.

It is an arithmetic number, because the mean of its divisors is an integer number (437938824960).

Almost surely, 232123206116105 is an apocalyptic number.

It is an amenable number.

32123206116105 is a deficient number, since it is larger than the sum of its proper divisors (23932963478775).

32123206116105 is a wasteful number, since it uses less digits than its factorization.

32123206116105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431.

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 32123206116105 its reverse (50161160232123), we get a palindrome (82284366348228).

The spelling of 32123206116105 in words is "thirty-two trillion, one hundred twenty-three billion, two hundred six million, one hundred sixteen thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 103 195 309 515 719 797 1339 1545 2157 2391 2791 3595 3985 4017 6695 8373 9347 10361 10785 11955 13955 20085 28041 31083 36283 41865 46735 51805 74057 82091 108849 140205 155415 181415 222171 246273 287473 370285 410455 544245 573043 862419 962741 1067183 1110855 1231365 1437365 1719129 2006729 2224427 2865215 2888223 3201549 3737149 4312095 4813705 5335915 6020187 6673281 7449559 8595645 10033645 11122135 11211447 14441115 16007745 18685745 22348677 26087477 28917551 30100935 33366405 37247795 56057235 59023429 78262431 86752653 111743385 130437385 144587755 177070287 206693087 229115981 295117145 391312155 433763265 620079261 687347943 767304577 885351435 1033465435 1145579905 1599363013 2301913731 2687010131 2978507753 3100396305 3436739715 3836522885 4798089039 7996815065 8061030393 8935523259 11509568655 13435050655 14892538765 20791719169 23990445195 40305151965 44677616295 62375157507 103958595845 164734390339 311875787535 494203171017 823671951695 2141547074407 2471015855085 6424641223221 10707735372035 32123206116105