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21323311300320 = 2535193574140093
BaseRepresentation
bin1001101100100101110000…
…11001010011111011100000
32210111111012020010201020020
410312102320121103323200
510243330120143102240
6113203443255513440
74330362350336061
oct466227031237340
983444166121206
1021323311300320
116881190371187
122484725988880
13bb8a19ac37b3
1453a0a77aa568
1526ea055ad0d0
hex1364b8653ee0

21323311300320 has 192 divisors, whose sum is σ = 67529898241344. Its totient is φ = 5655627694080.

The previous prime is 21323311300111. The next prime is 21323311300351. The reversal of 21323311300320 is 2300311332312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531826194 + ... + 531866286.

It is an arithmetic number, because the mean of its divisors is an integer number (351718220007).

Almost surely, 221323311300320 is an apocalyptic number.

21323311300320 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 21323311300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33764949120672).

21323311300320 is an abundant number, since it is smaller than the sum of its proper divisors (46206586941024).

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

21323311300320 is a wasteful number, since it uses less digits than its factorization.

21323311300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46045 (or 46037 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21323311300320 its reverse (2300311332312), we get a palindrome (23623622632632).

The spelling of 21323311300320 in words is "twenty-one trillion, three hundred twenty-three billion, three hundred eleven million, three hundred thousand, three hundred twenty".