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21335313104 = 2471947213319
BaseRepresentation
bin10011110111101011…
…110000101011010000
32001001220011012110122
4103313223300223100
5322143320004404
613445025445412
71353465112010
oct236753605320
961056135418
1021335313104
119059256576
1241751a0868
132020228031
141065799c40
1584d0d43be
hex4f7af0ad0

21335313104 has 80 divisors (see below), whose sum is σ = 50787225600. Its totient is φ = 8478110592.

The previous prime is 21335313067. The next prime is 21335313113. The reversal of 21335313104 is 40131353312.

It is a super-2 number, since 2×213353131042 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 6644 + ... + 206675.

It is an arithmetic number, because the mean of its divisors is an integer number (634840320).

Almost surely, 221335313104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21335313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25393612800).

21335313104 is an abundant number, since it is smaller than the sum of its proper divisors (29451912496).

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

21335313104 is a wasteful number, since it uses less digits than its factorization.

21335313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213400 (or 213394 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 21335313104 its reverse (40131353312), we get a palindrome (61466666416).

The spelling of 21335313104 in words is "twenty-one billion, three hundred thirty-five million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 47 56 76 94 112 133 152 188 266 304 329 376 532 658 752 893 1064 1316 1786 2128 2632 3572 5264 6251 7144 12502 14288 25004 50008 100016 213319 426638 853276 1493233 1706552 2986466 3413104 4053061 5972932 8106122 10025993 11945864 16212244 20051986 23891728 28371427 32424488 40103972 56742854 64848976 70181951 80207944 113485708 140363902 160415888 190493867 226971416 280727804 380987734 453942832 561455608 761975468 1122911216 1333457069 1523950936 2666914138 3047901872 5333828276 10667656552 21335313104