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21233301120 = 27355136531
BaseRepresentation
bin10011110001100110…
…100111011010000000
32000210210012110100000
4103301212213122000
5321441211113440
613430543200000
71351116036663
oct236146473200
960723173300
1021233301120
119006710449
124146ba6000
13200505b805
1410560036da
15844183730
hex4f19a7680

21233301120 has 192 divisors, whose sum is σ = 76037401440. Its totient is φ = 5662172160.

The previous prime is 21233301101. The next prime is 21233301127. The reversal of 21233301120 is 2110333212.

21233301120 is a `hidden beast` number, since 212 + 3 + 330 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 21233301093 and 21233301102.

It is not an unprimeable number, because it can be changed into a prime (21233301127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87255 + ... + 223785.

Almost surely, 221233301120 is an apocalyptic number.

21233301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38018700720).

21233301120 is an abundant number, since it is smaller than the sum of its proper divisors (54804100320).

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

21233301120 is an equidigital number, since it uses as much as digits as its factorization.

21233301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136565 (or 136541 counting only the distinct ones).

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

Adding to 21233301120 its reverse (2110333212), we get a palindrome (23343634332).

The spelling of 21233301120 in words is "twenty-one billion, two hundred thirty-three million, three hundred one thousand, one hundred twenty".