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21214301232300 = 223521129421752567
BaseRepresentation
bin1001101001011010101101…
…11000111001110010101100
32210010001211010110111020120
410310231112320321302230
510240033342103413200
6113041414311444540
74316453106134511
oct464552670716254
983101733414216
1021214301232300
116839a30a98680
122467582686750
13bab66671a277
14534ac5c73308
1526bc753589a0
hex134b56e39cac

21214301232300 has 288 divisors, whose sum is σ = 69286760363520. Its totient is φ = 4964248934400.

The previous prime is 21214301232281. The next prime is 21214301232307. The reversal of 21214301232300 is 323210341212.

It is not an unprimeable number, because it can be changed into a prime (21214301232307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 403540617 + ... + 403593183.

It is an arithmetic number, because the mean of its divisors is an integer number (240579029040).

Almost surely, 221214301232300 is an apocalyptic number.

21214301232300 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 21214301232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34643380181760).

21214301232300 is an abundant number, since it is smaller than the sum of its proper divisors (48072459131220).

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

21214301232300 is a wasteful number, since it uses less digits than its factorization.

21214301232300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56841 (or 56834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21214301232300 its reverse (323210341212), we get a palindrome (21537511573512).

The spelling of 21214301232300 in words is "twenty-one trillion, two hundred fourteen billion, three hundred one million, two hundred thirty-two thousand, three hundred".