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21210003012 = 2231117192343503
BaseRepresentation
bin10011110000001101…
…101111011001000100
32000202011100210100010
4103300031233121010
5321414230044022
613424351550220
71350414023322
oct236015573104
960664323303
1021210003012
118aa4548210
12413b22b370
132000292153
141052c9ad12
158420d050c
hex4f036f644

21210003012 has 384 divisors, whose sum is σ = 64377815040. Its totient is φ = 5343528960.

The previous prime is 21210003011. The next prime is 21210003037. The reversal of 21210003012 is 21030001212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21210003011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42166753 + ... + 42167255.

It is an arithmetic number, because the mean of its divisors is an integer number (167650560).

Almost surely, 221210003012 is an apocalyptic number.

21210003012 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 21210003012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32188907520).

21210003012 is an abundant number, since it is smaller than the sum of its proper divisors (43167812028).

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

21210003012 is a wasteful number, since it uses less digits than its factorization.

21210003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21210003012 its reverse (21030001212), we get a palindrome (42240004224).

The spelling of 21210003012 in words is "twenty-one billion, two hundred ten million, three thousand, twelve".