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21120213330 = 23251713804061
BaseRepresentation
bin10011101010110111…
…001110000101010010
32000111220102000001100
4103222313032011102
5321223233311310
613411423245230
71345243564656
oct235267160522
960456360040
1021120213330
118a5889a967
124115149816
131cb77b4b68
141044da6a66
15839295ec0
hex4eadce152

21120213330 has 48 divisors (see below), whose sum is σ = 58142709144. Its totient is φ = 5300759040.

The previous prime is 21120213319. The next prime is 21120213341. The reversal of 21120213330 is 3331202112.

21120213330 is a `hidden beast` number, since 2 + 1 + 120 + 213 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (21120213319) and next prime (21120213341).

It can be written as a sum of positive squares in 4 ways, for example, as 14467037841 + 6653175489 = 120279^2 + 81567^2 .

It is a super-2 number, since 2×211202133302 (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6900501 + ... + 6903560.

Almost surely, 221120213330 is an apocalyptic number.

21120213330 is an abundant number, since it is smaller than the sum of its proper divisors (37022495814).

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

21120213330 is a wasteful number, since it uses less digits than its factorization.

21120213330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13804091 (or 13804088 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21120213330 its reverse (3331202112), we get a palindrome (24451415442).

The spelling of 21120213330 in words is "twenty-one billion, one hundred twenty million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 13804061 27608122 41412183 69020305 82824366 124236549 138040610 207060915 234669037 248473098 414121830 469338074 621182745 704007111 1173345185 1242365490 1408014222 2112021333 2346690370 3520035555 4224042666 7040071110 10560106665 21120213330