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1330310322000 = 2432531142115959
BaseRepresentation
bin10011010110111100101…
…011001001011101010000
311201011202121120100100200
4103112330223021131100
5133243433420301000
62455045223015200
7165053221110162
oct23267453113520
94634677510320
101330310322000
114731aa54a790
121959a629a500
13985a886260a
144855ccd2932
152490edeb500
hex135bcac9750

1330310322000 has 480 divisors, whose sum is σ = 5081082289920. Its totient is φ = 321713280000.

The previous prime is 1330310321993. The next prime is 1330310322013. The reversal of 1330310322000 is 2230130331.

1330310322000 is a `hidden beast` number, since 1 + 3 + 30 + 310 + 322 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83350021 + ... + 83365979.

It is an arithmetic number, because the mean of its divisors is an integer number (10585588104).

Almost surely, 21330310322000 is an apocalyptic number.

1330310322000 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 1330310322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540541144960).

1330310322000 is an abundant number, since it is smaller than the sum of its proper divisors (3750771967920).

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

1330310322000 is a wasteful number, since it uses less digits than its factorization.

1330310322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16420 (or 16401 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1330310322000 its reverse (2230130331), we get a palindrome (1332540452331).

The spelling of 1330310322000 in words is "one trillion, three hundred thirty billion, three hundred ten million, three hundred twenty-two thousand".