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21042211410 = 23251195322303
BaseRepresentation
bin10011100110001101…
…101010101001010010
32000022110122002112100
4103212031222221102
5321043301231120
613355555341230
71343305563063
oct234615525122
960273562470
1021042211410
118a18863970
1240b2bb1816
131ca45a408c
1410388a056a
158324d9490
hex4e636aa52

21042211410 has 96 divisors (see below), whose sum is σ = 59748668928. Its totient is φ = 5095560960.

The previous prime is 21042211373. The next prime is 21042211417. The reversal of 21042211410 is 1411224012.

21042211410 is a `hidden beast` number, since 2 + 1 + 0 + 42 + 211 + 410 = 666.

It is a super-2 number, since 2×210422114102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21042211417) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 932319 + ... + 954621.

It is an arithmetic number, because the mean of its divisors is an integer number (622381968).

Almost surely, 221042211410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21042211410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29874334464).

21042211410 is an abundant number, since it is smaller than the sum of its proper divisors (38706457518).

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

21042211410 is a wasteful number, since it uses less digits than its factorization.

21042211410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23280 (or 23277 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21042211410 its reverse (1411224012), we get a palindrome (22453435422).

The spelling of 21042211410 in words is "twenty-one billion, forty-two million, two hundred eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 953 990 1906 2859 4765 5718 8577 9530 10483 14295 17154 20966 22303 28590 31449 42885 44606 52415 62898 66909 85770 94347 104830 111515 133818 157245 188694 200727 223030 245333 314490 334545 401454 471735 490666 669090 735999 943470 1003635 1226665 1471998 2007270 2207997 2453330 3679995 4415994 7359990 11039985 21254759 22079970 42509518 63764277 106273795 127528554 191292831 212547590 233802349 318821385 382585662 467604698 637642770 701407047 956464155 1169011745 1402814094 1912928310 2104221141 2338023490 3507035235 4208442282 7014070470 10521105705 21042211410