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10000442410322 = 2713313755078699
BaseRepresentation
bin1001000110000110100011…
…0100010100010101010010
31022102000220000201000200212
42101201220310110111102
52302321401224112242
633134050111244122
72051336166643310
oct221415064242522
938360800630625
1010000442410322
113206189036491
12115619bb19642
135770649c8790
14268049bb30b0
15125203bd2782
hex91868d14552

10000442410322 has 128 divisors (see below), whose sum is σ = 19578798489600. Its totient is φ = 3724018778880.

The previous prime is 10000442410261. The next prime is 10000442410337. The reversal of 10000442410322 is 22301424400001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149603929 + ... + 1149612627.

It is an arithmetic number, because the mean of its divisors is an integer number (152959363200).

Almost surely, 210000442410322 is an apocalyptic number.

10000442410322 is a deficient number, since it is larger than the sum of its proper divisors (9578356079278).

10000442410322 is a wasteful number, since it uses less digits than its factorization.

10000442410322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14296.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10000442410322 its reverse (22301424400001), we get a palindrome (32301866810323).

The spelling of 10000442410322 in words is "ten trillion, four hundred forty-two million, four hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 7 13 14 26 31 37 62 74 91 182 217 259 403 434 481 518 806 962 1147 2294 2821 3367 5507 5642 6734 8029 8699 11014 14911 16058 17398 29822 38549 60893 71591 77098 104377 113087 121786 143182 170717 203759 208754 226174 269669 321863 341434 407518 501137 539338 643726 791609 1002274 1195019 1426313 1583218 1887683 2219321 2253041 2390038 2648867 2852626 3505697 3775366 4184219 4438642 4506082 5297734 6316529 7011394 8368438 9977753 12633058 15535247 18542069 19955506 24539879 29289533 31070494 37084138 44215703 47905393 49079758 58579066 69844271 82114877 88431406 95810786 129710789 139688542 164229754 259421578 335337751 574804139 622770109 670675502 907975523 1149608278 1245540218 1485067183 1772499541 1815951046 2970134366 3544999082 4359390763 8718781526 10395470281 12407496787 19305873379 20790940562 23042494033 24814993574 38611746758 46084988066 54947485771 109894971542 135141113653 161297458231 270282227306 322594916462 384632400397 714317315023 769264800794 1428634630046 5000221205161 10000442410322