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1330232211000 = 2332537114740841
BaseRepresentation
bin10011010110111000000…
…001001011011000111000
311201011120011120220012200
4103112320001023120320
5133243303421223000
62455033352510200
7165051252142260
oct23267001133070
94634504526180
101330232211000
1147316a449840
121959840ab360
1398595613ca4
144855279c7a0
152490811c500
hex135b804b638

1330232211000 has 768 divisors, whose sum is σ = 5725042053120. Its totient is φ = 270524160000.

The previous prime is 1330232210977. The next prime is 1330232211031. The reversal of 1330232211000 is 1122320331.

1330232211000 is a `hidden beast` number, since 1 + 330 + 2 + 322 + 1 + 10 + 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 191 ways as a sum of consecutive naturals, for example, 32550580 + ... + 32591420.

It is an arithmetic number, because the mean of its divisors is an integer number (7454481840).

Almost surely, 21330232211000 is an apocalyptic number.

1330232211000 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 1330232211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862521026560).

1330232211000 is an abundant number, since it is smaller than the sum of its proper divisors (4394809842120).

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

1330232211000 is a wasteful number, since it uses less digits than its factorization.

1330232211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40933 (or 40916 counting only the distinct ones).

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

Adding to 1330232211000 its reverse (1122320331), we get a palindrome (1331354531331).

The spelling of 1330232211000 in words is "one trillion, three hundred thirty billion, two hundred thirty-two million, two hundred eleven thousand".