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21110321232 = 2432711131371069
BaseRepresentation
bin10011101010010001…
…011111000001010000
32000111012210102122100
4103222101133001100
5321213220234412
613410431240400
71345063525020
oct235221370120
960435712570
1021110321232
118a53253880
124111979100
131cb5730450
14104394da80
1583848eedc
hex4ea45f050

21110321232 has 480 divisors, whose sum is σ = 79977381120. Its totient is φ = 5019770880.

The previous prime is 21110321213. The next prime is 21110321233. The reversal of 21110321232 is 23212301112.

21110321232 is a `hidden beast` number, since 2 + 1 + 110 + 321 + 232 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110321233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19747194 + ... + 19748262.

It is an arithmetic number, because the mean of its divisors is an integer number (166619544).

Almost surely, 221110321232 is an apocalyptic number.

21110321232 is a gapful number since it is divisible by the number (22) 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 21110321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39988690560).

21110321232 is an abundant number, since it is smaller than the sum of its proper divisors (58867059888).

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

21110321232 is a wasteful number, since it uses less digits than its factorization.

21110321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1242 counting only the distinct ones).

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

Adding to 21110321232 its reverse (23212301112), we get a palindrome (44322622344).

The spelling of 21110321232 in words is "twenty-one billion, one hundred ten million, three hundred twenty-one thousand, two hundred thirty-two".