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21313022323000 = 2353192711018233
BaseRepresentation
bin1001101100010010100110…
…00111111110100100111000
32210110111122011121111202011
410312021103013332210320
510243143032203314000
6113155022311215304
74326546363433462
oct466112307764470
983414564544664
1021313022323000
116877890521241
122482734077534
13bb7a6a297735
145397ad103132
1526e60216c2ba
hex1362531fe938

21313022323000 has 384 divisors, whose sum is σ = 53911866003840. Its totient is φ = 7882963200000.

The previous prime is 21313022322817. The next prime is 21313022323001. The reversal of 21313022323000 is 32322031312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313022323001) 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 95 ways as a sum of consecutive naturals, for example, 2588726884 + ... + 2588735116.

It is an arithmetic number, because the mean of its divisors is an integer number (140395484385).

Almost surely, 221313022323000 is an apocalyptic number.

21313022323000 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 21313022323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26955933001920).

21313022323000 is an abundant number, since it is smaller than the sum of its proper divisors (32598843680840).

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

21313022323000 is a wasteful number, since it uses less digits than its factorization.

21313022323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8464 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21313022323000 its reverse (32322031312), we get a palindrome (21345344354312).

The spelling of 21313022323000 in words is "twenty-one trillion, three hundred thirteen billion, twenty-two million, three hundred twenty-three thousand".