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21212505760320 = 2632574312441317
BaseRepresentation
bin1001101001010111010111…
…10111101110001001000000
32210002220011222222001201100
410310223223313232021000
510240021202433312240
6113040520212334400
74316360444646360
oct464535367561100
983086158861640
1021212505760320
11683919a546a36
122467161314400
13bab43b754204
145349956189a0
1526bbbc8e6e30
hex134aebdee240

21212505760320 has 336 divisors, whose sum is σ = 83578853749248. Its totient is φ = 4837321175040.

The previous prime is 21212505760319. The next prime is 21212505760321. The reversal of 21212505760320 is 2306750521212.

21212505760320 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 50 + 576 + 0 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21212505760319) and next prime (21212505760321).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21212505760321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7468302 + ... + 9909618.

Almost surely, 221212505760320 is an apocalyptic number.

21212505760320 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 21212505760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41789426874624).

21212505760320 is an abundant number, since it is smaller than the sum of its proper divisors (62366347988928).

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

21212505760320 is a wasteful number, since it uses less digits than its factorization.

21212505760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441778 (or 2441765 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 21212505760320 in words is "twenty-one trillion, two hundred twelve billion, five hundred five million, seven hundred sixty thousand, three hundred twenty".