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21023111200 = 25527131716987
BaseRepresentation
bin10011100101000100…
…110011100000100000
32000021010200200222011
4103211010303200200
5321023404024300
613354034122304
71342654332250
oct234504634040
960233620864
1021023111200
118a08aa8673
1240a8720394
131ca0647390
14103612b960
158309b4eba
hex4e5133820

21023111200 has 288 divisors, whose sum is σ = 66885969024. Its totient is φ = 6261719040.

The previous prime is 21023111171. The next prime is 21023111231. The reversal of 21023111200 is 211132012.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229107 + ... + 1246093.

It is an arithmetic number, because the mean of its divisors is an integer number (232242948).

Almost surely, 221023111200 is an apocalyptic number.

21023111200 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 21023111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33442984512).

21023111200 is an abundant number, since it is smaller than the sum of its proper divisors (45862857824).

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

21023111200 is a wasteful number, since it uses less digits than its factorization.

21023111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17044 (or 17031 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21023111200 its reverse (211132012), we get a palindrome (21234243212).

The spelling of 21023111200 in words is "twenty-one billion, twenty-three million, one hundred eleven thousand, two hundred".