| Base | Representation |
|---|---|
| bin | 100111101010111… |
| … | …1011111001000000 |
| 3 | 10102202210110001200 |
| 4 | 1033111323321000 |
| 5 | 10211233303100 |
| 6 | 340031101200 |
| 7 | 44662406646 |
| oct | 11725737100 |
| 9 | 3382713050 |
| 10 | 1331150400 |
| 11 | 623443aa8 |
| 12 | 311971800 |
| 13 | 182a23778 |
| 14 | c8b0d196 |
| 15 | 7bce4e00 |
| hex | 4f57be40 |
1331150400 has 252 divisors, whose sum is σ = 4785014052. Its totient is φ = 350945280.
The previous prime is 1331150399. The next prime is 1331150411. The reversal of 1331150400 is 40511331.
It can be written as a sum of positive squares in 6 ways, for example, as 57517056 + 1273633344 = 7584^2 + 35688^2 .
It is a super-2 number, since 2×13311504002 = 3543922774840320000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 35 ways as a sum of consecutive naturals, for example, 1396324 + ... + 1397276.
It is an arithmetic number, because the mean of its divisors is an integer number (18988151).
Almost surely, 21331150400 is an apocalyptic number.
1331150400 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 1331150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392507026).
1331150400 is an abundant number, since it is smaller than the sum of its proper divisors (3453863652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331150400 is a wasteful number, since it uses less digits than its factorization.
1331150400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1078 (or 1060 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 1331150400 is about 36484.9338768758. The cubic root of 1331150400 is about 1100.0414309464.
Adding to 1331150400 its reverse (40511331), we get a palindrome (1371661731).
The spelling of 1331150400 in words is "one billion, three hundred thirty-one million, one hundred fifty thousand, four hundred".
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