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1330020011320 = 2357113132711013
BaseRepresentation
bin10011010110101011010…
…111101100110100111000
311201011000101022000222021
4103112223113230310320
5133242340110330240
62455000332404224
7165043064364310
oct23265327546470
94634011260867
101330020011320
11473070694000
12195925016674
1398560677b50
1448532522440
15248e46a354a
hex135ab5ecd38

1330020011320 has 512 divisors, whose sum is σ = 4070131752960. Its totient is φ = 380874700800.

The previous prime is 1330020011293. The next prime is 1330020011321. The reversal of 1330020011320 is 231100200331.

It is a junction number, because it is equal to n+sod(n) for n = 1330020011294 and 1330020011303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330020011321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1312951134 + ... + 1312952146.

It is an arithmetic number, because the mean of its divisors is an integer number (7949476080).

Almost surely, 21330020011320 is an apocalyptic number.

1330020011320 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 1330020011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035065876480).

1330020011320 is an abundant number, since it is smaller than the sum of its proper divisors (2740111741640).

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

1330020011320 is a wasteful number, since it uses less digits than its factorization.

1330020011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1330020011320 its reverse (231100200331), we get a palindrome (1561120211651).

The spelling of 1330020011320 in words is "one trillion, three hundred thirty billion, twenty million, eleven thousand, three hundred twenty".