Base | Representation |
---|---|
bin | 111100101000111111… |
… | …0111101010110100000 |
3 | 110110010120022220000000 |
4 | 1321101332331112200 |
5 | 4113144431240400 |
6 | 135454014300000 |
7 | 12260040540000 |
oct | 1712176752640 |
9 | 413116286000 |
10 | 130224477600 |
11 | 50256360508 |
12 | 212a3ab7600 |
13 | c38454c309 |
14 | 6435220000 |
15 | 35c2905600 |
hex | 1e51fbd5a0 |
130224477600 has 1440 divisors, whose sum is σ = 574168250880. Its totient is φ = 28805414400.
The previous prime is 130224477599. The next prime is 130224477601. The reversal of 130224477600 is 6774422031.
130224477600 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 4 + 47 + 7 + 600 = 666.
It is an interprime number because it is at equal distance from previous prime (130224477599) and next prime (130224477601).
It is a tau number, because it is divible by the number of its divisors (1440).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (130224477601) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4200789585 + ... + 4200789615.
It is an arithmetic number, because the mean of its divisors is an integer number (398727952).
Almost surely, 2130224477600 is an apocalyptic number.
130224477600 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 130224477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287084125440).
130224477600 is an abundant number, since it is smaller than the sum of its proper divisors (443943773280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130224477600 is an frugal number, since it uses more digits than its factorization.
130224477600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100 (or 48 counting only the distinct ones).
The product of its (nonzero) digits is 56448, while the sum is 36.
Adding to 130224477600 its reverse (6774422031), we get a palindrome (136998899631).
The spelling of 130224477600 in words is "one hundred thirty billion, two hundred twenty-four million, four hundred seventy-seven thousand, six hundred".
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