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21242400000003 = 32721337100142843
BaseRepresentation
bin1001101010001111000011…
…01101001100100000000011
32210012202100101020210012200
410311013201231030200003
510241013413400000003
6113102342425524243
74321466321542200
oct465074155144003
983182311223180
1021242400000003
11684a940014746
122470b04943683
13bb11c3c39930
145361cd9b2ca7
1526c86c0ce6a3
hex1351e1b4c803

21242400000003 has 72 divisors (see below), whose sum is σ = 39477510818928. Its totient is φ = 10901950351488.

The previous prime is 21242399999999. The next prime is 21242400000011. The reversal of 21242400000003 is 30000000424212.

21242400000003 is a `hidden beast` number, since 21 + 242 + 400 + 0 + 0 + 0 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 21242400000003 - 22 = 21242399999999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21242400000203) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 49859301 + ... + 50283542.

It is an arithmetic number, because the mean of its divisors is an integer number (548298761374).

Almost surely, 221242400000003 is an apocalyptic number.

21242400000003 is a deficient number, since it is larger than the sum of its proper divisors (18235110818925).

21242400000003 is a wasteful number, since it uses less digits than its factorization.

21242400000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100142913 (or 100142903 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21242400000003 its reverse (30000000424212), we get a palindrome (51242400424215).

The spelling of 21242400000003 in words is "twenty-one trillion, two hundred forty-two billion, four hundred million, three", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 37 39 49 63 91 111 117 147 259 273 333 441 481 637 777 819 1443 1813 1911 2331 3367 4329 5439 5733 10101 16317 23569 30303 70707 212121 100142843 300428529 700999901 901285587 1301856959 2102999703 3705285191 3905570877 4906999307 6308999109 9112998713 11115855573 11716712631 14720997921 25936996337 27338996139 33347566719 44162993763 48168707483 63790990991 77810989011 82016988417 144506122449 181558974359 191372972973 233432967033 337180952381 433518367347 544676923077 574118918919 1011542857143 1634030769231 2360266666667 3034628571429 7080800000001 21242400000003