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1332112000320 = 263252637692287
BaseRepresentation
bin10011011000101000000…
…100000000010101000000
311201100102011202002101100
4103120220010000111000
5133311131133002240
62455544103134400
7165145656114513
oct23305004002500
94640364662340
101332112000320
11473a44550332
12196209744400
1398804bbc56a
14486902c4d7a
15249b8186e30
hex13628100540

1332112000320 has 336 divisors, whose sum is σ = 4607326563840. Its totient is φ = 353264467968.

The previous prime is 1332112000283. The next prime is 1332112000339. The reversal of 1332112000320 is 230002112331.

1332112000320 is a `hidden beast` number, since 1 + 3 + 321 + 1 + 20 + 0 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1332112000293 and 1332112000302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582470217 + ... + 582472503.

It is an arithmetic number, because the mean of its divisors is an integer number (13712281440).

Almost surely, 21332112000320 is an apocalyptic number.

1332112000320 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 1332112000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303663281920).

1332112000320 is an abundant number, since it is smaller than the sum of its proper divisors (3275214563520).

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

1332112000320 is a wasteful number, since it uses less digits than its factorization.

1332112000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1332112000320 its reverse (230002112331), we get a palindrome (1562114112651).

The spelling of 1332112000320 in words is "one trillion, three hundred thirty-two billion, one hundred twelve million, three hundred twenty", and thus it is an aban number.