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23213013222000 = 24353717191711117
BaseRepresentation
bin1010100011100101100110…
…11010000100001001110000
310001012010211210200122020110
411101302303122010021300
511020310222341101000
6121211524442141320
74614041051546520
oct521626332041160
9101163753618213
1023213013222000
11743a646890238
12272aa071b1840
13cc4c93183a64
145a3731643680
152a3c55213850
hex151cb3684270

23213013222000 has 640 divisors, whose sum is σ = 95327615784960. Its totient is φ = 4730893516800.

The previous prime is 23213013221971. The next prime is 23213013222001. The reversal of 23213013222000 is 22231031232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213013222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12710442 + ... + 14421558.

It is an arithmetic number, because the mean of its divisors is an integer number (148949399664).

Almost surely, 223213013222000 is an apocalyptic number.

23213013222000 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 23213013222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47663807892480).

23213013222000 is an abundant number, since it is smaller than the sum of its proper divisors (72114602562960).

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

23213013222000 is a wasteful number, since it uses less digits than its factorization.

23213013222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711186 (or 1711170 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23213013222000 its reverse (22231031232), we get a palindrome (23235244253232).

The spelling of 23213013222000 in words is "twenty-three trillion, two hundred thirteen billion, thirteen million, two hundred twenty-two thousand".