Base | Representation |
---|---|
bin | 1111100010010… |
… | …00111001010000 |
3 | 100002020001011202 |
4 | 13301020321100 |
5 | 231330301000 |
6 | 20533130332 |
7 | 3141501344 |
oct | 761107120 |
9 | 302201152 |
10 | 130322000 |
11 | 67621936 |
12 | 377899a8 |
13 | 20ccc213 |
14 | 13445624 |
15 | b693dd5 |
hex | 7c48e50 |
130322000 has 80 divisors (see below), whose sum is σ = 333742032. Its totient is φ = 49049600.
The previous prime is 130321993. The next prime is 130322021. The reversal of 130322000 is 223031.
It can be written as a sum of positive squares in 8 ways, for example, as 42562576 + 87759424 = 6524^2 + 9368^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32084 + ... + 35916.
Almost surely, 2130322000 is an apocalyptic number.
130322000 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 130322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166871016).
130322000 is an abundant number, since it is smaller than the sum of its proper divisors (203420032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130322000 is a wasteful number, since it uses less digits than its factorization.
130322000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3873 (or 3857 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 11.
The square root of 130322000 is about 11415.8661519834. The cubic root of 130322000 is about 506.9976100423.
Adding to 130322000 its reverse (223031), we get a palindrome (130545031).
The spelling of 130322000 in words is "one hundred thirty million, three hundred twenty-two thousand".
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