Search a number
-
+
21120330212120 = 235599881482897
BaseRepresentation
bin1001100110101011101011…
…10001111010001100011000
32202210002021010102001111202
410303111311301322030120
510232013414013241440
6112530313514413332
74306615320503606
oct463256561721430
982702233361452
1021120330212120
116803099887327
122451317a31248
13ba283bcb2109
1453032d806876
152695c557d615
hex133575c7a318

21120330212120 has 32 divisors (see below), whose sum is σ = 47600076492000. Its totient is φ = 8434028348928.

The previous prime is 21120330212077. The next prime is 21120330212129. The reversal of 21120330212120 is 2121203302112.

It is a super-3 number, since 3×211203302121203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21120330212092 and 21120330212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120330212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440717489 + ... + 440765408.

It is an arithmetic number, because the mean of its divisors is an integer number (1487502390375).

Almost surely, 221120330212120 is an apocalyptic number.

21120330212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120330212120 is an abundant number, since it is smaller than the sum of its proper divisors (26479746279880).

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

21120330212120 is a wasteful number, since it uses less digits than its factorization.

21120330212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881483507 (or 881483503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21120330212120 its reverse (2121203302112), we get a palindrome (23241533514232).

The spelling of 21120330212120 in words is "twenty-one trillion, one hundred twenty billion, three hundred thirty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 599 1198 2396 2995 4792 5990 11980 23960 881482897 1762965794 3525931588 4407414485 7051863176 8814828970 17629657940 35259315880 528008255303 1056016510606 2112033021212 2640041276515 4224066042424 5280082553030 10560165106060 21120330212120