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21032223012 = 22327313758417
BaseRepresentation
bin10011100101100111…
…100100000100100100
32000021202211122000200
4103211213210010210
5321033222114022
613355001310500
71343124642303
oct234547440444
960252748020
1021032223012
118a13161499
1240ab795430
131ca24b7898
14103742043a
158316b4bac
hex4e59e4124

21032223012 has 72 divisors (see below), whose sum is σ = 54287380056. Its totient is φ = 6864113664.

The previous prime is 21032222999. The next prime is 21032223019.

21032223012 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 9014363136 + 12017859876 = 94944^2 + 109626^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21032223019) 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, 330828 + ... + 389244.

Almost surely, 221032223012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21032223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27143690028).

21032223012 is an abundant number, since it is smaller than the sum of its proper divisors (33255157044).

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

21032223012 is a wasteful number, since it uses less digits than its factorization.

21032223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58637 (or 58632 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 21032223012 in words is "twenty-one billion, thirty-two million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 137 146 219 274 292 411 438 548 657 822 876 1233 1314 1644 2466 2628 4932 10001 20002 30003 40004 58417 60006 90009 116834 120012 175251 180018 233668 350502 360036 525753 701004 1051506 2103012 4264441 8003129 8528882 12793323 16006258 17057764 24009387 25586646 32012516 38379969 48018774 51173292 72028161 76759938 96037548 144056322 153519876 288112644 584228417 1168456834 1752685251 2336913668 3505370502 5258055753 7010741004 10516111506 21032223012