Base | Representation |
---|---|
bin | 10011001110010111… |
… | …11111101001011000 |
3 | 222122022000211120121 |
4 | 21213023333221120 |
5 | 132114202211440 |
6 | 4424053403024 |
7 | 513524114125 |
oct | 114713775130 |
9 | 28568024517 |
10 | 10321132120 |
11 | 4417012362 |
12 | 2000639474 |
13 | c863a6a90 |
14 | 6dca7774c |
15 | 40619334a |
hex | 2672ffa58 |
10321132120 has 128 divisors (see below), whose sum is σ = 26417664000. Its totient is φ = 3597626880.
The previous prime is 10321132109. The next prime is 10321132121. The reversal of 10321132120 is 2123112301.
It is a junction number, because it is equal to n+sod(n) for n = 10321132094 and 10321132103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10321132121) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3071001 + ... + 3074359.
It is an arithmetic number, because the mean of its divisors is an integer number (206388000).
Almost surely, 210321132120 is an apocalyptic number.
10321132120 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 10321132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832000).
10321132120 is an abundant number, since it is smaller than the sum of its proper divisors (16096531880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10321132120 is a wasteful number, since it uses less digits than its factorization.
10321132120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3713 (or 3709 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 10321132120 its reverse (2123112301), we get a palindrome (12444244421).
The spelling of 10321132120 in words is "ten billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred twenty".
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