Base | Representation |
---|---|
bin | 10011010110110000010… |
… | …000100100111011010000 |
3 | 11201011020002122000111100 |
4 | 103112300100210323100 |
5 | 133243022104430112 |
6 | 2455012422344400 |
7 | 165045111466026 |
oct | 23266020447320 |
9 | 4634202560440 |
10 | 1330102030032 |
11 | 473102a13966 |
12 | 19594858b100 |
13 | 98574664029 |
14 | 4853d392716 |
15 | 248eb9a52dc |
hex | 135b0424ed0 |
1330102030032 has 120 divisors (see below), whose sum is σ = 3799989313640. Its totient is φ = 434194007040.
The previous prime is 1330102030021. The next prime is 1330102030063. The reversal of 1330102030032 is 2300302010331.
1330102030032 is a `hidden beast` number, since 1 + 330 + 1 + 0 + 2 + 0 + 300 + 32 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3495647376 + 1326606382656 = 59124^2 + 1151784^2 .
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 = 1330102029987 and 1330102030014.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680918 + ... + 2342154.
Almost surely, 21330102030032 is an apocalyptic number.
1330102030032 is a gapful number since it is divisible by the number (12) 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 1330102030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899994656820).
1330102030032 is an abundant number, since it is smaller than the sum of its proper divisors (2469887283608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1330102030032 is a wasteful number, since it uses less digits than its factorization.
1330102030032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 661541 (or 661532 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 1330102030032 its reverse (2300302010331), we get a palindrome (3630404040363).
The spelling of 1330102030032 in words is "one trillion, three hundred thirty billion, one hundred two million, thirty thousand, thirty-two".
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