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21312201047424 = 273760113192423
BaseRepresentation
bin1001101100010001000100…
…01011000011110110000000
32210110102111221020101110020
410312020202023003312000
510243134341432004144
6113154405012333440
74326520131626160
oct466104213036600
983412457211406
1021312201047424
1168774a99797a1
122482545014280
13bb79690a5961
14539731dda5a0
1526e5a4ee1419
hex1362222c3d80

21312201047424 has 128 divisors (see below), whose sum is σ = 64805408263680. Its totient is φ = 6079068057600.

The previous prime is 21312201047393. The next prime is 21312201047443. The reversal of 21312201047424 is 42474010221312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4980724 + ... + 8211699.

It is an arithmetic number, because the mean of its divisors is an integer number (506292252060).

Almost surely, 221312201047424 is an apocalyptic number.

21312201047424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21312201047424 is an abundant number, since it is smaller than the sum of its proper divisors (43493207216256).

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

21312201047424 is a wasteful number, since it uses less digits than its factorization.

21312201047424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13193048 (or 13193036 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 21312201047424 its reverse (42474010221312), we get a palindrome (63786211268736).

The spelling of 21312201047424 in words is "twenty-one trillion, three hundred twelve billion, two hundred one million, forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 601 672 896 1202 1344 1803 2404 2688 3606 4207 4808 7212 8414 9616 12621 14424 16828 19232 25242 28848 33656 38464 50484 57696 67312 76928 100968 115392 134624 201936 230784 269248 403872 538496 807744 1615488 13192423 26384846 39577269 52769692 79154538 92346961 105539384 158309076 184693922 211078768 277040883 316618152 369387844 422157536 554081766 633236304 738775688 844315072 1108163532 1266472608 1477551376 1688630144 2216327064 2532945216 2955102752 4432654128 5065890432 5910205504 7928646223 8865308256 11820411008 15857292446 17730616512 23785938669 31714584892 35461233024 47571877338 55500523561 63429169784 95143754676 111001047122 126858339568 166501570683 190287509352 222002094244 253716679136 333003141366 380575018704 444004188488 507433358272 666006282732 761150037408 888008376976 1014866716544 1332012565464 1522300074816 1776016753952 2664025130928 3044600149632 3552033507904 5328050261856 7104067015808 10656100523712 21312201047424