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21323211120 = 243553141863
BaseRepresentation
bin10011110110111101…
…100110000101110000
32001001001101100200000
4103312331212011300
5322132220223440
613443514230000
71353260206161
oct236675460560
961031340600
1021323211120
119052440132
124171125300
13201a87b7b3
141063d29768
1584bee3730
hex4f6f66170

21323211120 has 480 divisors, whose sum is σ = 78618968064. Its totient is φ = 5362329600.

The previous prime is 21323211113. The next prime is 21323211139. The reversal of 21323211120 is 2111232312.

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 = 21323211093 and 21323211102.

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 95 ways as a sum of consecutive naturals, for example, 24707809 + ... + 24708671.

Almost surely, 221323211120 is an apocalyptic number.

21323211120 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 21323211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39309484032).

21323211120 is an abundant number, since it is smaller than the sum of its proper divisors (57295756944).

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

21323211120 is a wasteful number, since it uses less digits than its factorization.

21323211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21323211120 its reverse (2111232312), we get a palindrome (23434443432).

The spelling of 21323211120 in words is "twenty-one billion, three hundred twenty-three million, two hundred eleven thousand, one hundred twenty".