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13345335012000 = 253531231903421
BaseRepresentation
bin1100001000110011001111…
…1100111110101010100000
31202020210122100020210011010
43002030303330332222200
53222122221230341000
644214432352220520
72545111561643505
oct302146374765240
952223570223133
1013345335012000
1142857a777a562
1215b64b983a740
1375a5c8c342c4
14341cbc0c14ac
15182221dabd50
hexc2333f3eaa0

13345335012000 has 192 divisors, whose sum is σ = 43754881218048. Its totient is φ = 3555861120000.

The previous prime is 13345335011993. The next prime is 13345335012007. The reversal of 13345335012000 is 21053354331.

13345335012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13345335011993) and next prime (13345335012007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13345335012007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14320290 + ... + 15223710.

It is an arithmetic number, because the mean of its divisors is an integer number (227890006344).

Almost surely, 213345335012000 is an apocalyptic number.

13345335012000 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 13345335012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877440609024).

13345335012000 is an abundant number, since it is smaller than the sum of its proper divisors (30409546206048).

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

13345335012000 is a wasteful number, since it uses less digits than its factorization.

13345335012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904680 (or 904662 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 13345335012000 its reverse (21053354331), we get a palindrome (13366388366331).

The spelling of 13345335012000 in words is "thirteen trillion, three hundred forty-five billion, three hundred thirty-five million, twelve thousand".