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13332222321000 = 23353113745723893
BaseRepresentation
bin1100001000000010011001…
…1000000010000101101000
31202012112210111102001200220
43002000212120002011220
53221413342403233000
644204423253530040
72544135616625622
oct302004630020550
952175714361626
1013332222321000
114280188a25750
1215b3a5a343920
137592b93c744b
143413d67bdc12
15181c05aea1a0
hexc2026602168

13332222321000 has 512 divisors, whose sum is σ = 46708404088320. Its totient is φ = 3137688576000.

The previous prime is 13332222320987. The next prime is 13332222321013. The reversal of 13332222321000 is 12322223331.

It is an interprime number because it is at equal distance from previous prime (13332222320987) and next prime (13332222321013).

It is a super-3 number, since 3×133322223210003 (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 557985054 + ... + 558008946.

It is an arithmetic number, because the mean of its divisors is an integer number (91227351735).

Almost surely, 213332222321000 is an apocalyptic number.

13332222321000 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 13332222321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23354202044160).

13332222321000 is an abundant number, since it is smaller than the sum of its proper divisors (33376181767320).

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

13332222321000 is a wasteful number, since it uses less digits than its factorization.

13332222321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24422 (or 24408 counting only the distinct ones).

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

Adding to 13332222321000 its reverse (12322223331), we get a palindrome (13344544544331).

The spelling of 13332222321000 in words is "thirteen trillion, three hundred thirty-two billion, two hundred twenty-two million, three hundred twenty-one thousand".