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13322154120000 = 263541116136257
BaseRepresentation
bin1100000111011100111001…
…0000111001001101000000
31202011120210211022110101120
43001313032100321031000
53221232232423320000
644200040233232240
72543331253422135
oct301671620711500
952146724273346
1013322154120000
114276991769280
1215b1b0a562680
1375837354b26b
14340b1d58658c
15181816c696a0
hexc1dce439340

13322154120000 has 560 divisors, whose sum is σ = 48087819122112. Its totient is φ = 3227095040000.

The previous prime is 13322154119993. The next prime is 13322154120001. The reversal of 13322154120000 is 2145122331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322154120001) 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 79 ways as a sum of consecutive naturals, for example, 2129156872 + ... + 2129163128.

Almost surely, 213322154120000 is an apocalyptic number.

13322154120000 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 13322154120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24043909561056).

13322154120000 is an abundant number, since it is smaller than the sum of its proper divisors (34765665002112).

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

13322154120000 is a wasteful number, since it uses less digits than its factorization.

13322154120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13322154120000 its reverse (2145122331), we get a palindrome (13324299242331).

The spelling of 13322154120000 in words is "thirteen trillion, three hundred twenty-two billion, one hundred fifty-four million, one hundred twenty thousand".