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21412212300 = 2235521723049
BaseRepresentation
bin10011111100010001…
…000110111001001100
32001021020212002100000
4103330101012321030
5322323011243200
613500414004300
71355420541633
oct237421067114
961236762300
1021412212300
1190986aa026
124196aa6690
132033140c0b
141071a9651a
15854c24300
hex4fc446e4c

21412212300 has 324 divisors, whose sum is σ = 73960413800. Its totient is φ = 5372282880.

The previous prime is 21412212281. The next prime is 21412212307. The reversal of 21412212300 is 321221412.

It is a happy number.

21412212300 is a `hidden beast` number, since 2 + 1 + 412 + 21 + 230 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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 (21412212307) 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 107 ways as a sum of consecutive naturals, for example, 7021176 + ... + 7024224.

Almost surely, 221412212300 is an apocalyptic number.

21412212300 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 21412212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36980206900).

21412212300 is an abundant number, since it is smaller than the sum of its proper divisors (52548201500).

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

21412212300 is a wasteful number, since it uses less digits than its factorization.

21412212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21412212300 its reverse (321221412), we get a palindrome (21733433712).

The spelling of 21412212300 in words is "twenty-one billion, four hundred twelve million, two hundred twelve thousand, three hundred".