Base | Representation |
---|---|
bin | 1111011111111… |
… | …11011111001000 |
3 | 100001122202201110 |
4 | 13233333133020 |
5 | 231241140240 |
6 | 20522450320 |
7 | 3136106622 |
oct | 757773710 |
9 | 301582643 |
10 | 130021320 |
11 | 67436a40 |
12 | 376639a0 |
13 | 20c253c0 |
14 | 133a7c12 |
15 | b634c80 |
hex | 7bff7c8 |
130021320 has 128 divisors (see below), whose sum is σ = 458317440. Its totient is φ = 29091840.
The previous prime is 130021301. The next prime is 130021337. The reversal of 130021320 is 23120031.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 130021296 and 130021305.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13372 + ... + 20948.
It is an arithmetic number, because the mean of its divisors is an integer number (3580605).
Almost surely, 2130021320 is an apocalyptic number.
130021320 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 130021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229158720).
130021320 is an abundant number, since it is smaller than the sum of its proper divisors (328296120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130021320 is a wasteful number, since it uses less digits than its factorization.
130021320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7615 (or 7611 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 130021320 is about 11402.6891565104. The cubic root of 130021320 is about 506.6073934200.
Adding to 130021320 its reverse (23120031), we get a palindrome (153141351).
The spelling of 130021320 in words is "one hundred thirty million, twenty-one thousand, three hundred twenty".
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