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13322233221000 = 233531133679091
BaseRepresentation
bin1100000111011101001011…
…1110101000111110001000
31202011121000100011012120020
43001313102332220332020
53221232413201033000
644200052140500440
72543333233652244
oct301672276507610
952147010135506
1013322233221000
114276a22386000
1215b1b30b4a720
13758386a553a2
14340b29c97424
1518181db91ba0
hexc1dd2fa8f88

13322233221000 has 512 divisors, whose sum is σ = 45848398602240. Its totient is φ = 3220477920000.

The previous prime is 13322233220999. The next prime is 13322233221001. The reversal of 13322233221000 is 12233222331.

It is an interprime number because it is at equal distance from previous prime (13322233220999) and next prime (13322233221001).

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

It is not an unprimeable number, because it can be changed into a prime (13322233221001) 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 127 ways as a sum of consecutive naturals, for example, 1465426455 + ... + 1465435545.

It is an arithmetic number, because the mean of its divisors is an integer number (89547653520).

Almost surely, 213322233221000 is an apocalyptic number.

13322233221000 is a gapful number since it is divisible by the number (10) 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 13322233221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22924199301120).

13322233221000 is an abundant number, since it is smaller than the sum of its proper divisors (32526165381240).

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

13322233221000 is a wasteful number, since it uses less digits than its factorization.

13322233221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13322233221000 its reverse (12233222331), we get a palindrome (13334466443331).

The spelling of 13322233221000 in words is "thirteen trillion, three hundred twenty-two billion, two hundred thirty-three million, two hundred twenty-one thousand".