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21221535344135 = 5723611697925453
BaseRepresentation
bin1001101001101000001100…
…00100110110011000000111
32210010202111021201110002112
410310310012010312120013
510240143201022003020
6113045012211531235
74320130300103540
oct464640604663007
983122437643075
1021221535344135
1168420035039a5
122468a612b9b1b
13bac24a391c09
145351b09314c7
1526c04a4b92c5
hex134d06136607

21221535344135 has 64 divisors (see below), whose sum is σ = 30870089902080. Its totient is φ = 13689690094080.

The previous prime is 21221535344123. The next prime is 21221535344203. The reversal of 21221535344135 is 53144353512212.

It is not a de Polignac number, because 21221535344135 - 216 = 21221535278599 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21221535344092 and 21221535344101.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 833741069 + ... + 833766521.

It is an arithmetic number, because the mean of its divisors is an integer number (482345154720).

Almost surely, 221221535344135 is an apocalyptic number.

21221535344135 is a deficient number, since it is larger than the sum of its proper divisors (9648554557945).

21221535344135 is a wasteful number, since it uses less digits than its factorization.

21221535344135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42528.

The product of its digits is 432000, while the sum is 41.

Adding to 21221535344135 its reverse (53144353512212), we get a palindrome (74365888856347).

The spelling of 21221535344135 in words is "twenty-one trillion, two hundred twenty-one billion, five hundred thirty-five million, three hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 5 7 23 35 61 115 161 305 427 805 1403 2135 7015 9821 16979 25453 49105 84895 118853 127265 178171 390517 585419 594265 890855 1035719 1552633 1952585 2733619 2927095 4097933 5178595 7250033 7763165 10868431 13668095 20489665 23821537 35710559 36250165 54342155 119107685 166750759 178552795 249973913 432166487 833753795 1249869565 2160832435 3025165409 9939829201 15125827045 26362155707 49699146005 69578804407 131810778535 184535089949 347894022035 606329581261 922675449745 3031647906305 4244307068827 21221535344135