| Base | Representation |
|---|---|
| bin | 11101001011000100… |
| … | …110011000100000000 |
| 3 | 2222212001020022220000 |
| 4 | 131023010303010000 |
| 5 | 1003123011220000 |
| 6 | 22220140520000 |
| 7 | 2156150220051 |
| oct | 351304630400 |
| 9 | 88761208800 |
| 10 | 31324320000 |
| 11 | 12314842276 |
| 12 | 60a2550000 |
| 13 | 2c528668bc |
| 14 | 173229a728 |
| 15 | c35020000 |
| hex | 74b133100 |
31324320000 has 450 divisors, whose sum is σ = 116765246598. Its totient is φ = 8349696000.
The previous prime is 31324319993. The next prime is 31324320007. The reversal of 31324320000 is 2342313.
It is an interprime number because it is at equal distance from previous prime (31324319993) and next prime (31324320007).
It can be written as a sum of positive squares in 5 ways, for example, as 3996262656 + 27328057344 = 63216^2 + 165312^2 .
It is a tau number, because it is divible by the number of its divisors (450).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (31324320007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12958792 + ... + 12961208.
Almost surely, 231324320000 is an apocalyptic number.
31324320000 is a gapful number since it is divisible by the number (30) 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 31324320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58382623299).
31324320000 is an abundant number, since it is smaller than the sum of its proper divisors (85440926598).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31324320000 is an frugal number, since it uses more digits than its factorization.
31324320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2465 (or 2427 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 31324320000 its reverse (2342313), we get a palindrome (31326662313).
The spelling of 31324320000 in words is "thirty-one billion, three hundred twenty-four million, three hundred twenty thousand".
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