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21112336080 = 243251143471319
BaseRepresentation
bin10011101010011001…
…001010111011010000
32000111100120210111100
4103222121022323100
5321214224223310
613410542344400
71345116616143
oct235231127320
960440523440
1021112336080
118a543aa640
12411258b100
131cb5c87574
141043d1605a
1583873bec0
hex4ea64aed0

21112336080 has 480 divisors, whose sum is σ = 80891965440. Its totient is φ = 4889041920.

The previous prime is 21112336067. The next prime is 21112336093. The reversal of 21112336080 is 8063321112.

It is a happy number.

21112336080 is a `hidden beast` number, since 2 + 11 + 12 + 33 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21112336067) and next prime (21112336093).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16005661 + ... + 16006979.

It is an arithmetic number, because the mean of its divisors is an integer number (168524928).

Almost surely, 221112336080 is an apocalyptic number.

21112336080 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 21112336080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40445982720).

21112336080 is an abundant number, since it is smaller than the sum of its proper divisors (59779629360).

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

21112336080 is a wasteful number, since it uses less digits than its factorization.

21112336080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 21112336080 its reverse (8063321112), we get a palindrome (29175657192).

The spelling of 21112336080 in words is "twenty-one billion, one hundred twelve million, three hundred thirty-six thousand, eighty".