| Base | Representation |
|---|---|
| bin | 111011010111… |
| … | …0111000001000 |
| 3 | 2011120022110210 |
| 4 | 1312232320020 |
| 5 | 30432000000 |
| 6 | 3031041120 |
| 7 | 525362304 |
| oct | 166567010 |
| 9 | 64508423 |
| 10 | 31125000 |
| 11 | 16629745 |
| 12 | a5101a0 |
| 13 | 65aa07a |
| 14 | 41c2d04 |
| 15 | 2aec350 |
| hex | 1daee08 |
31125000 has 112 divisors (see below), whose sum is σ = 98436240. Its totient is φ = 8200000.
The previous prime is 31124999. The next prime is 31125001. The reversal of 31125000 is 52113.
It is an interprime number because it is at equal distance from previous prime (31124999) and next prime (31125001).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (31125001) 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 27 ways as a sum of consecutive naturals, for example, 374959 + ... + 375041.
It is an arithmetic number, because the mean of its divisors is an integer number (878895).
Almost surely, 231125000 is an apocalyptic number.
31125000 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 31125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49218120).
31125000 is an abundant number, since it is smaller than the sum of its proper divisors (67311240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31125000 is an frugal number, since it uses more digits than its factorization.
31125000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122 (or 93 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 12.
The square root of 31125000 is about 5578.9784011053. The cubic root of 31125000 is about 314.5597275778.
Adding to 31125000 its reverse (52113), we get a palindrome (31177113).
It can be divided in two parts, 3 and 1125000, that multiplied together give a cube (3375000 = 1503).
The spelling of 31125000 in words is "thirty-one million, one hundred twenty-five thousand".
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